2456456064 has 128 divisors (see below), whose sum is σ = 6644851200. Its totient is φ = 803936256.

The previous prime is 2456456039. The next prime is 2456456087. The reversal of 2456456064 is 4606546542.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6842317 + ... + 6842675.

It is an arithmetic number, because the mean of its divisors is an integer number (51912900).

Almost surely, 2^2456456064 is an apocalyptic number.

2456456064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2456456064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3322425600).

2456456064 is an abundant number, since it is smaller than the sum of its proper divisors (4188395136).

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

2456456064 is a wasteful number, since it uses less digits than its factorization.

2456456064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The square root of 2456456064 is about 49562.6478711539. The cubic root of 2456456064 is about 1349.2828498283.

The spelling of 2456456064 in words is "two billion, four hundred fifty-six million, four hundred fifty-six thousand, sixty-four".