2112525792 has 288 divisors, whose sum is σ = 7016556960. Its totient is φ = 614615040.

The previous prime is 2112525769. The next prime is 2112525853. The reversal of 2112525792 is 2975252112.

2112525792 is a `hidden beast` number, since 21 + 12 + 52 + 579 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4054492 + ... + 4055012.

It is an arithmetic number, because the mean of its divisors is an integer number (24363045).

Almost surely, 2^2112525792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112525792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508278480).

2112525792 is an abundant number, since it is smaller than the sum of its proper divisors (4904031168).

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

2112525792 is a wasteful number, since it uses less digits than its factorization.

2112525792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 558 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 2112525792 is about 45962.2213562400. The cubic root of 2112525792 is about 1283.1201938643.

The spelling of 2112525792 in words is "two billion, one hundred twelve million, five hundred twenty-five thousand, seven hundred ninety-two".