2456380080 has 560 divisors, whose sum is σ = 10695101184. Its totient is φ = 509483520.

The previous prime is 2456380057. The next prime is 2456380109. The reversal of 2456380080 is 800836542.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4490367 + ... + 4490913.

Almost surely, 2^2456380080 is an apocalyptic number.

2456380080 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 2456380080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347550592).

2456380080 is an abundant number, since it is smaller than the sum of its proper divisors (8238721104).

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

2456380080 is a wasteful number, since it uses less digits than its factorization.

2456380080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2456380080 is about 49561.8813202243. The cubic root of 2456380080 is about 1349.2689375142.

The spelling of 2456380080 in words is "two billion, four hundred fifty-six million, three hundred eighty thousand, eighty".