2505876235632 has 480 divisors, whose sum is σ = 9209678400000. Its totient is φ = 616215029760.

The previous prime is 2505876235631. The next prime is 2505876235669. The reversal of 2505876235632 is 2365326785052.

2505876235632 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 8 + 7 + 623 + 5 + 6 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505876235631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435877494 + ... + 435883242.

It is an arithmetic number, because the mean of its divisors is an integer number (19186830000).

Almost surely, 2^{2505876235632} is an apocalyptic number.

2505876235632 is a gapful number since it is divisible by the number (22) 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 2505876235632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4604839200000).

2505876235632 is an abundant number, since it is smaller than the sum of its proper divisors (6703802164368).

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

2505876235632 is a wasteful number, since it uses less digits than its factorization.

2505876235632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7869 (or 7860 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 2505876235632 in words is "two trillion, five hundred five billion, eight hundred seventy-six million, two hundred thirty-five thousand, six hundred thirty-two".