2505904128 has 520 divisors, whose sum is σ = 9324372288. Its totient is φ = 652935168.

The previous prime is 2505904067. The next prime is 2505904139. The reversal of 2505904128 is 8214095052.

2505904128 is a `hidden beast` number, since 2 + 5 + 0 + 590 + 41 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2505904092 and 2505904101.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30191575 + ... + 30191657.

Almost surely, 2^2505904128 is an apocalyptic number.

2505904128 is a gapful number since it is divisible by the number (28) 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 2505904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662186144).

2505904128 is an abundant number, since it is smaller than the sum of its proper divisors (6818468160).

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

2505904128 is an equidigital number, since it uses as much as digits as its factorization.

2505904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2505904128 is about 50059.0064623740. The cubic root of 2505904128 is about 1358.2763862593.

The spelling of 2505904128 in words is "two billion, five hundred five million, nine hundred four thousand, one hundred twenty-eight".