2456556542 has 32 divisors (see below), whose sum is σ = 4298487264. Its totient is φ = 1040512000.

The previous prime is 2456556539. The next prime is 2456556547.

2456556542 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2456556493 and 2456556502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456556547) 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 15 ways as a sum of consecutive naturals, for example, 5258 + ... + 70290.

It is an arithmetic number, because the mean of its divisors is an integer number (134327727).

Almost surely, 2^2456556542 is an apocalyptic number.

2456556542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2456556542 is a deficient number, since it is larger than the sum of its proper divisors (1841930722).

2456556542 is a wasteful number, since it uses less digits than its factorization.

2456556542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65164.

The product of its digits is 1440000, while the sum is 44.

The square root of 2456556542 is about 49563.6615071970. The cubic root of 2456556542 is about 1349.3012464384.

The spelling of 2456556542 in words is "two billion, four hundred fifty-six million, five hundred fifty-six thousand, five hundred forty-two".