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2125014340 = 2251937359421
BaseRepresentation
bin111111010101001…
…0010010101000100
312111002120220122211
41332222102111010
513323000424330
6550510233204
7103442216041
oct17652222504
95432526584
102125014340
119a05737a9
124b37b5804
1327b338747
1416231c1c8
15c6858d2a
hex7ea92544

2125014340 has 96 divisors (see below), whose sum is σ = 4849286400. Its totient is φ = 779466240.

The previous prime is 2125014323. The next prime is 2125014343. The reversal of 2125014340 is 434105212.

It is not an unprimeable number, because it can be changed into a prime (2125014343) 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, 5047330 + ... + 5047750.

It is an arithmetic number, because the mean of its divisors is an integer number (50513400).

Almost surely, 22125014340 is an apocalyptic number.

2125014340 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 2125014340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424643200).

2125014340 is an abundant number, since it is smaller than the sum of its proper divisors (2724272060).

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

2125014340 is a wasteful number, since it uses less digits than its factorization.

2125014340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2125014340 is about 46097.8778253403. The cubic root of 2125014340 is about 1285.6436872581.

Adding to 2125014340 its reverse (434105212), we get a palindrome (2559119552).

The spelling of 2125014340 in words is "two billion, one hundred twenty-five million, fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 359 370 380 421 703 718 740 842 1406 1436 1684 1795 2105 2812 3515 3590 4210 6821 7030 7180 7999 8420 13283 13642 14060 15577 15998 26566 27284 31154 31996 34105 39995 53132 62308 66415 68210 77885 79990 132830 136420 151139 155770 159980 252377 265660 295963 302278 311540 504754 591926 604556 755695 1009508 1183852 1261885 1479815 1511390 2523770 2871641 2959630 3022780 5047540 5592143 5743282 5919260 11184286 11486564 14358205 22368572 27960715 28716410 55921430 57432820 106250717 111842860 212501434 425002868 531253585 1062507170 2125014340