2551540520 has 16 divisors (see below), whose sum is σ = 5740966260. Its totient is φ = 1020616192.

The previous prime is 2551540463. The next prime is 2551540543. The reversal of 2551540520 is 250451552.

It can be written as a sum of positive squares in 2 ways, for example, as 2041413124 + 510127396 = 45182^2 + 22586^2 .

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 3 ways as a sum of consecutive naturals, for example, 31894217 + ... + 31894296.

Almost surely, 2^2551540520 is an apocalyptic number.

2551540520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551540520 is an abundant number, since it is smaller than the sum of its proper divisors (3189425740).

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

2551540520 is a wasteful number, since it uses less digits than its factorization.

2551540520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63788524 (or 63788520 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 29.

The square root of 2551540520 is about 50512.7758096900. The cubic root of 2551540520 is about 1366.4722708499.

It can be divided in two parts, 25515405 and 20, that multiplied together give a square (510308100 = 22590²).

The spelling of 2551540520 in words is "two billion, five hundred fifty-one million, five hundred forty thousand, five hundred twenty".