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2540095080 = 2335137367421
BaseRepresentation
bin1001011101100110…
…1100011001101000
320120000122012101120
42113121230121220
520200231020310
61100015015240
7116642311005
oct22731543150
96500565346
102540095080
1110938aa036
125aa80a520
1331632a353
141a14ca8ac
15eceeab70
hex9766c668

2540095080 has 128 divisors (see below), whose sum is σ = 7715105280. Its totient is φ = 668989440.

The previous prime is 2540095067. The next prime is 2540095093. The reversal of 2540095080 is 805900452.

2540095080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2540095067) and next prime (2540095093).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6033270 + ... + 6033690.

It is an arithmetic number, because the mean of its divisors is an integer number (60274260).

Almost surely, 22540095080 is an apocalyptic number.

2540095080 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 2540095080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857552640).

2540095080 is an abundant number, since it is smaller than the sum of its proper divisors (5175010200).

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

2540095080 is a wasteful number, since it uses less digits than its factorization.

2540095080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 2540095080 is about 50399.3559482658. The cubic root of 2540095080 is about 1364.4260142230.

The spelling of 2540095080 in words is "two billion, five hundred forty million, ninety-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 367 411 421 548 685 734 822 842 1096 1101 1263 1370 1468 1644 1684 1835 2055 2105 2202 2526 2740 2936 3288 3368 3670 4110 4210 4404 5052 5480 5505 6315 7340 8220 8420 8808 10104 11010 12630 14680 16440 16840 22020 25260 44040 50279 50520 57677 100558 115354 150837 154507 173031 201116 230708 251395 288385 301674 309014 346062 402232 461416 463521 502790 576770 603348 618028 692124 754185 772535 865155 927042 1005580 1153540 1206696 1236056 1384248 1508370 1545070 1730310 1854084 2011160 2307080 2317605 3016740 3090140 3460620 3708168 4635210 6033480 6180280 6921240 9270420 18540840 21167459 42334918 63502377 84669836 105837295 127004754 169339672 211674590 254009508 317511885 423349180 508019016 635023770 846698360 1270047540 2540095080