2505992832 has 288 divisors, whose sum is σ = 8507509920. Its totient is φ = 693577728.

The previous prime is 2505992737. The next prime is 2505992833. The reversal of 2505992832 is 2382995052.

2505992832 is a `hidden beast` number, since 2 + 5 + 0 + 599 + 28 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2505992833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11039503 + ... + 11039729.

It is an arithmetic number, because the mean of its divisors is an integer number (29539965).

Almost surely, 2^2505992832 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 2505992832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253754960).

2505992832 is an abundant number, since it is smaller than the sum of its proper divisors (6001517088).

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

2505992832 is a wasteful number, since it uses less digits than its factorization.

2505992832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2505992832 is about 50059.8924489456. The cubic root of 2505992832 is about 1358.2924128271.

The spelling of 2505992832 in words is "two billion, five hundred five million, nine hundred ninety-two thousand, eight hundred thirty-two".