2456385984 has 84 divisors (see below), whose sum is σ = 7582409016. Its totient is φ = 755808768.

The previous prime is 2456385983. The next prime is 2456385989. The reversal of 2456385984 is 4895836542.

2456385984 is a `hidden beast` number, since 2 + 45 + 6 + 3 + 8 + 598 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2456385984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2456385983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156534 + ... + 171509.

It is an arithmetic number, because the mean of its divisors is an integer number (90266774).

Almost surely, 2^2456385984 is an apocalyptic number.

2456385984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2456385984 is an abundant number, since it is smaller than the sum of its proper divisors (5126023032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2456385984 is a wasteful number, since it uses less digits than its factorization.

2456385984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328074 (or 328061 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The square root of 2456385984 is about 49561.9408820922. The cubic root of 2456385984 is about 1349.2700185192.

The spelling of 2456385984 in words is "two billion, four hundred fifty-six million, three hundred eighty-five thousand, nine hundred eighty-four".