2456960000 has 220 divisors, whose sum is σ = 6714569400. Its totient is φ = 890880000.

The previous prime is 2456959993. The next prime is 2456960063. The reversal of 2456960000 is 696542.

It is a tau number, because it is divible by the number of its divisors (220).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7039826 + ... + 7040174.

It is an arithmetic number, because the mean of its divisors is an integer number (30520770).

Almost surely, 2^2456960000 is an apocalyptic number.

2456960000 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 2456960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357284700).

2456960000 is an abundant number, since it is smaller than the sum of its proper divisors (4257609400).

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

2456960000 is an equidigital number, since it uses as much as digits as its factorization.

2456960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 2456960000 is about 49567.7314389109. The cubic root of 2456960000 is about 1349.3751108869.

The spelling of 2456960000 in words is "two billion, four hundred fifty-six million, nine hundred sixty thousand".