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2097612240 = 243543439463
BaseRepresentation
bin111110100000111…
…0000010111010000
312102012000202001020
41331001300113100
513243442042430
6544051035440
7102660260403
oct17501602720
95365022036
102097612240
11987058139
124a659bb80
13275763099
1415c827d3a
15c4244b10
hex7d0705d0

2097612240 has 160 divisors (see below), whose sum is σ = 6683381760. Its totient is φ = 543932928.

The previous prime is 2097612227. The next prime is 2097612247. The reversal of 2097612240 is 422167902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097612247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4530249 + ... + 4530711.

It is an arithmetic number, because the mean of its divisors is an integer number (41771136).

Almost surely, 22097612240 is an apocalyptic number.

2097612240 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 2097612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341690880).

2097612240 is an abundant number, since it is smaller than the sum of its proper divisors (4585769520).

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

2097612240 is a wasteful number, since it uses less digits than its factorization.

2097612240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2097612240 is about 45799.6969422288. The cubic root of 2097612240 is about 1280.0936292188.

The spelling of 2097612240 in words is "two billion, ninety-seven million, six hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 439 463 516 645 688 860 878 926 1032 1290 1317 1389 1720 1756 1852 2064 2195 2315 2580 2634 2778 3440 3512 3704 4390 4630 5160 5268 5556 6585 6945 7024 7408 8780 9260 10320 10536 11112 13170 13890 17560 18520 18877 19909 21072 22224 26340 27780 35120 37040 37754 39818 52680 55560 56631 59727 75508 79636 94385 99545 105360 111120 113262 119454 151016 159272 188770 199090 203257 226524 238908 283155 298635 302032 318544 377540 398180 406514 453048 477816 566310 597270 609771 755080 796360 813028 906096 955632 1016285 1132620 1194540 1219542 1510160 1592720 1626056 2032570 2265240 2389080 2439084 3048855 3252112 4065140 4530480 4778160 4878168 6097710 8130280 8740051 9756336 12195420 16260560 17480102 24390840 26220153 34960204 43700255 48781680 52440306 69920408 87400510 104880612 131100765 139840816 174801020 209761224 262201530 349602040 419522448 524403060 699204080 1048806120 2097612240