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2240684955240 = 2335831291174259
BaseRepresentation
bin100000100110110011001…
…110110001011001101000
321221012121012001101220120
4200212303032301121220
5243202410322031430
64433204554523240
7320612155603644
oct40466316613150
97835535041816
102240684955240
117942a6274036
12302314a36520
131333ac808354
147a6420bbc24
153d443138610
hex209b33b1668

2240684955240 has 128 divisors (see below), whose sum is σ = 6808352140800. Its totient is φ = 589856359680.

The previous prime is 2240684955209. The next prime is 2240684955241. The reversal of 2240684955240 is 425594860422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2240684955241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12771231 + ... + 12945489.

It is an arithmetic number, because the mean of its divisors is an integer number (53190251100).

Almost surely, 22240684955240 is an apocalyptic number.

2240684955240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240684955240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404176070400).

2240684955240 is an abundant number, since it is smaller than the sum of its proper divisors (4567667185560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2240684955240 is a wasteful number, since it uses less digits than its factorization.

2240684955240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175647 (or 175643 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 2240684955240 in words is "two trillion, two hundred forty billion, six hundred eighty-four million, nine hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1291 1660 1992 2490 2582 3320 3873 4980 5164 6455 7746 9960 10328 12910 15492 19365 25820 30984 38730 51640 77460 107153 154920 174259 214306 321459 348518 428612 522777 535765 642918 697036 857224 871295 1045554 1071530 1285836 1394072 1607295 1742590 2091108 2143060 2571672 2613885 3214590 3485180 4182216 4286120 5227770 6429180 6970360 10455540 12858360 14463497 20911080 28926994 43390491 57853988 72317485 86780982 115707976 144634970 173561964 216952455 224968369 289269940 347123928 433904910 449936738 578539880 674905107 867809820 899873476 1124841845 1349810214 1735619640 1799746952 2249683690 2699620428 3374525535 4499367380 5399240856 6749051070 8998734760 13498102140 18672374627 26996204280 37344749254 56017123881 74689498508 93361873135 112034247762 149378997016 186723746270 224068495524 280085619405 373447492540 448136991048 560171238810 746894985080 1120342477620 2240684955240