2458993680 has 640 divisors, whose sum is σ = 10499328000. Its totient is φ = 520058880.

The previous prime is 2458993673. The next prime is 2458993697. The reversal of 2458993680 is 863998542.

2458993680 is a `hidden beast` number, since 24 + 589 + 9 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5868511 + ... + 5868929.

It is an arithmetic number, because the mean of its divisors is an integer number (16405200).

Almost surely, 2^2458993680 is an apocalyptic number.

2458993680 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 2458993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664000).

2458993680 is an abundant number, since it is smaller than the sum of its proper divisors (8040334320).

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

2458993680 is a wasteful number, since it uses less digits than its factorization.

2458993680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 2458993680 is about 49588.2413481261. The cubic root of 2458993680 is about 1349.7473107300.

The spelling of 2458993680 in words is "two billion, four hundred fifty-eight million, nine hundred ninety-three thousand, six hundred eighty".