2456863920 has 480 divisors, whose sum is σ = 9974361600. Its totient is φ = 554190336.

The previous prime is 2456863859. The next prime is 2456863931. The reversal of 2456863920 is 293686542.

2456863920 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 8 + 639 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14711677 + ... + 14711843.

It is an arithmetic number, because the mean of its divisors is an integer number (20779920).

Almost surely, 2^2456863920 is an apocalyptic number.

2456863920 is a gapful number since it is divisible by the number (20) 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 2456863920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987180800).

2456863920 is an abundant number, since it is smaller than the sum of its proper divisors (7517497680).

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

2456863920 is a wasteful number, since it uses less digits than its factorization.

2456863920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2456863920 is about 49566.7622505243. The cubic root of 2456863920 is about 1349.3575214470.

It can be divided in two parts, 24568 and 63920, that added together give a palindrome (88488).

The spelling of 2456863920 in words is "two billion, four hundred fifty-six million, eight hundred sixty-three thousand, nine hundred twenty".