2506434880 has 56 divisors (see below), whose sum is σ = 5975302248. Its totient is φ = 1001422848.

The previous prime is 2506434877. The next prime is 2506434929. The reversal of 2506434880 is 884346052.

It can be written as a sum of positive squares in 4 ways, for example, as 858724416 + 1647710464 = 29304^2 + 40592^2 .

It is a super-2 number, since 2×2506434880² = 12564431615361228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308632 + ... + 316648.

Almost surely, 2^2506434880 is an apocalyptic number.

2506434880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2506434880 is an abundant number, since it is smaller than the sum of its proper divisors (3468867368).

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

2506434880 is an equidigital number, since it uses as much as digits as its factorization.

2506434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9011 (or 9001 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The square root of 2506434880 is about 50064.3074455245. The cubic root of 2506434880 is about 1358.3722740749.

The spelling of 2506434880 in words is "two billion, five hundred six million, four hundred thirty-four thousand, eight hundred eighty".