2466056320 has 384 divisors, whose sum is σ = 7735875840. Its totient is φ = 743694336.

The previous prime is 2466056309. The next prime is 2466056339. The reversal of 2466056320 is 236506642.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9376509 + ... + 9376771.

It is an arithmetic number, because the mean of its divisors is an integer number (20145510).

Almost surely, 2^2466056320 is an apocalyptic number.

2466056320 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 2466056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867937920).

2466056320 is an abundant number, since it is smaller than the sum of its proper divisors (5269819520).

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

2466056320 is a wasteful number, since it uses less digits than its factorization.

2466056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 2466056320 is about 49659.4031377744. The cubic root of 2466056320 is about 1351.0383086670.

The spelling of 2466056320 in words is "two billion, four hundred sixty-six million, fifty-six thousand, three hundred twenty".