2125105920 has 648 divisors, whose sum is σ = 8990051616. Its totient is φ = 453869568.

The previous prime is 2125105903. The next prime is 2125105937. The reversal of 2125105920 is 295015212.

2125105920 is a `hidden beast` number, since 21 + 2 + 51 + 0 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2125105903) and next prime (2125105937).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29111004 + ... + 29111076.

Almost surely, 2^2125105920 is an apocalyptic number.

2125105920 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 2125105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495025808).

2125105920 is an abundant number, since it is smaller than the sum of its proper divisors (6864945696).

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

2125105920 is a wasteful number, since it uses less digits than its factorization.

2125105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 2125105920 is about 46098.8711358532. The cubic root of 2125105920 is about 1285.6621557700.

The spelling of 2125105920 in words is "two billion, one hundred twenty-five million, one hundred five thousand, nine hundred twenty".