2564510542 has 24 divisors (see below), whose sum is σ = 4374077400. Its totient is φ = 1125487440.

The previous prime is 2564510521. The next prime is 2564510549. The reversal of 2564510542 is 2450154652.

It is a junction number, because it is equal to n+sod(n) for n = 2564510498 and 2564510507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564510549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175692 + ... + 189727.

It is an arithmetic number, because the mean of its divisors is an integer number (182253225).

Almost surely, 2^2564510542 is an apocalyptic number.

2564510542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2564510542 is a deficient number, since it is larger than the sum of its proper divisors (1809566858).

2564510542 is a wasteful number, since it uses less digits than its factorization.

2564510542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365472 (or 365461 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 2564510542 is about 50640.9966529096. The cubic root of 2564510542 is about 1368.7837149330.

The spelling of 2564510542 in words is "two billion, five hundred sixty-four million, five hundred ten thousand, five hundred forty-two".