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2040658425 = 3252131973503
BaseRepresentation
bin111100110100001…
…1111100111111001
312021012212012002200
41321220133213321
513134402032200
6534254220413
7101366211321
oct17150374771
95235765080
102040658425
11957997973
1248b4b4709
13266a117c0
14155040281
15be244800
hex79a1f9f9

2040658425 has 144 divisors (see below), whose sum is σ = 4208480640. Its totient is φ = 936852480.

The previous prime is 2040658423. The next prime is 2040658441. The reversal of 2040658425 is 5248560402.

It is a happy number.

It is not a de Polignac number, because 2040658425 - 21 = 2040658423 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2040658425.

It is not an unprimeable number, because it can be changed into a prime (2040658423) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4056724 + ... + 4057226.

It is an arithmetic number, because the mean of its divisors is an integer number (29225560).

Almost surely, 22040658425 is an apocalyptic number.

2040658425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2040658425 is an abundant number, since it is smaller than the sum of its proper divisors (2167822215).

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

2040658425 is a wasteful number, since it uses less digits than its factorization.

2040658425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2040658425 is about 45173.6474617669. The cubic root of 2040658425 is about 1268.4015736998.

The spelling of 2040658425 in words is "two billion, forty million, six hundred fifty-eight thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 19 25 39 45 57 65 73 75 95 117 171 195 219 225 247 285 325 365 475 503 585 657 741 855 949 975 1095 1235 1387 1425 1509 1825 2223 2515 2847 2925 3285 3705 4161 4275 4527 4745 5475 6175 6539 6935 7545 8541 9557 11115 12483 12575 14235 16425 18031 18525 19617 20805 22635 23725 28671 32695 34675 36719 37725 42705 47785 54093 55575 58851 62415 71175 86013 90155 98085 104025 110157 113175 124241 143355 162279 163475 183595 213525 238925 270465 294255 312075 330471 372723 430065 450775 477347 490425 550785 621205 697661 716775 811395 917975 1118169 1352325 1432041 1471275 1652355 1863615 2092983 2150325 2386735 2753925 3106025 3488305 4056975 4296123 5590845 6278949 7160205 8261775 9069593 9318075 10464915 11933675 17441525 21480615 27208779 27954225 31394745 35801025 45347965 52324575 81626337 107403075 136043895 156973725 226739825 408131685 680219475 2040658425