2506316544 has 54 divisors (see below), whose sum is σ = 7226335116. Its totient is φ = 835438080.

The previous prime is 2506316539. The next prime is 2506316563. The reversal of 2506316544 is 4456136052.

2506316544 is a `hidden beast` number, since 2 + 50 + 63 + 1 + 6 + 544 = 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 = 2506316499 and 2506316508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 541602 + ... + 546209.

Almost surely, 2^2506316544 is an apocalyptic number.

2506316544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2506316544 is an abundant number, since it is smaller than the sum of its proper divisors (4720018572).

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

2506316544 is a wasteful number, since it uses less digits than its factorization.

2506316544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087833 (or 1087816 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2506316544 is about 50063.1255915969. The cubic root of 2506316544 is about 1358.3508961844.

The spelling of 2506316544 in words is "two billion, five hundred six million, three hundred sixteen thousand, five hundred forty-four".