2456673984 has 168 divisors, whose sum is σ = 7406914320. Its totient is φ = 777369600.

The previous prime is 2456673971. The next prime is 2456674009. The reversal of 2456673984 is 4893766542.

2456673984 is a `hidden beast` number, since 2 + 4 + 566 + 73 + 9 + 8 + 4 = 666.

2456673984 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2456673984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1017739 + ... + 1020149.

Almost surely, 2^2456673984 is an apocalyptic number.

2456673984 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 2456673984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703457160).

2456673984 is an abundant number, since it is smaller than the sum of its proper divisors (4950240336).

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

2456673984 is a wasteful number, since it uses less digits than its factorization.

2456673984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2506 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 2456673984 is about 49564.8462521574. The cubic root of 2456673984 is about 1349.3227483673.

The spelling of 2456673984 in words is "two billion, four hundred fifty-six million, six hundred seventy-three thousand, nine hundred eighty-four".