2456134625 has 32 divisors (see below), whose sum is σ = 3526848000. Its totient is φ = 1672814400.

The previous prime is 2456134553. The next prime is 2456134627. The reversal of 2456134625 is 5264316542.

It is not a de Polignac number, because 2456134625 - 2²⁴ = 2439357409 is a prime.

It is a super-2 number, since 2×2456134625² = 12065194592247781250, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2456134627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120956 + ... + 139794.

It is an arithmetic number, because the mean of its divisors is an integer number (110214000).

Almost surely, 2^2456134625 is an apocalyptic number.

2456134625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2456134625 is a deficient number, since it is larger than the sum of its proper divisors (1070713375).

2456134625 is a wasteful number, since it uses less digits than its factorization.

2456134625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19010 (or 19000 counting only the distinct ones).

The product of its digits is 172800, while the sum is 38.

The square root of 2456134625 is about 49559.4050105527. The cubic root of 2456134625 is about 1349.2239938941.

The spelling of 2456134625 in words is "two billion, four hundred fifty-six million, one hundred thirty-four thousand, six hundred twenty-five".