2656456551 has 72 divisors (see below), whose sum is σ = 4650800544. Its totient is φ = 1455511680.

The previous prime is 2656456531. The next prime is 2656456577. The reversal of 2656456551 is 1556546562.

2656456551 is a `hidden beast` number, since 2 + 6 + 56 + 45 + 6 + 551 = 666.

It is not a de Polignac number, because 2656456551 - 2⁷ = 2656456423 is a prime.

It is a super-2 number, since 2×2656456551² = 14113522814701631202, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2656456497 and 2656456506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2656456501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1157361 + ... + 1159653.

It is an arithmetic number, because the mean of its divisors is an integer number (64594452).

Almost surely, 2^2656456551 is an apocalyptic number.

2656456551 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2656456551 is a deficient number, since it is larger than the sum of its proper divisors (1994343993).

2656456551 is a wasteful number, since it uses less digits than its factorization.

2656456551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2411 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

The square root of 2656456551 is about 51540.8241203029. The cubic root of 2656456551 is about 1384.9504604175.

The spelling of 2656456551 in words is "two billion, six hundred fifty-six million, four hundred fifty-six thousand, five hundred fifty-one".