2032638525792 has 288 divisors, whose sum is σ = 6837561319680. Its totient is φ = 560425098240.

The previous prime is 2032638525761. The next prime is 2032638525803. The reversal of 2032638525792 is 2975258362302.

2032638525792 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 6 + 385 + 257 + 9 + 2 = 666.

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

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, 121772167 + ... + 121788857.

It is an arithmetic number, because the mean of its divisors is an integer number (23741532360).

Almost surely, 2^{2032638525792} 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 2032638525792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3418780659840).

2032638525792 is an abundant number, since it is smaller than the sum of its proper divisors (4804922793888).

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

2032638525792 is a wasteful number, since it uses less digits than its factorization.

2032638525792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18826 (or 18815 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2032638525792 in words is "two trillion, thirty-two billion, six hundred thirty-eight million, five hundred twenty-five thousand, seven hundred ninety-two".