2505934080 has 432 divisors, whose sum is σ = 9675928080. Its totient is φ = 594542592.

The previous prime is 2505934069. The next prime is 2505934087. The reversal of 2505934080 is 804395052.

2505934080 is a `hidden beast` number, since 25 + 0 + 593 + 40 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23503104 + 2482430976 = 4848^2 + 49824^2 .

It is a super-2 number, since 2×2505934080² = 12559411226610892800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505934087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4342752 + ... + 4343328.

Almost surely, 2^2505934080 is an apocalyptic number.

2505934080 is a gapful number since it is divisible by the number (20) 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 2505934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4837964040).

2505934080 is an abundant number, since it is smaller than the sum of its proper divisors (7169994000).

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

2505934080 is a wasteful number, since it uses less digits than its factorization.

2505934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2505934080 is about 50059.3056284244. The cubic root of 2505934080 is about 1358.2817978700.

The spelling of 2505934080 in words is "two billion, five hundred five million, nine hundred thirty-four thousand, eighty".