2564400506 has 16 divisors (see below), whose sum is σ = 3871241088. Its totient is φ = 1274011200.

The previous prime is 2564400491. The next prime is 2564400529. The reversal of 2564400506 is 6050044652.

It is a super-2 number, since 2×2564400506² = 13152299910346112072, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 217421 + ... + 228911.

It is an arithmetic number, because the mean of its divisors is an integer number (241952568).

Almost surely, 2^2564400506 is an apocalyptic number.

2564400506 is a deficient number, since it is larger than the sum of its proper divisors (1306840582).

2564400506 is a wasteful number, since it uses less digits than its factorization.

2564400506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12197.

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 2564400506 is about 50639.9102092411. The cubic root of 2564400506 is about 1368.7641377549.

The spelling of 2564400506 in words is "two billion, five hundred sixty-four million, four hundred thousand, five hundred six".