2408643984 has 120 divisors (see below), whose sum is σ = 6606600960. Its totient is φ = 756055296.

The previous prime is 2408643977. The next prime is 2408644001. The reversal of 2408643984 is 4893468042.

2408643984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3967809 + ... + 3968415.

It is an arithmetic number, because the mean of its divisors is an integer number (55055008).

Almost surely, 2^2408643984 is an apocalyptic number.

2408643984 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 2408643984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3303300480).

2408643984 is an abundant number, since it is smaller than the sum of its proper divisors (4197956976).

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

2408643984 is a wasteful number, since it uses less digits than its factorization.

2408643984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 2408643984 is about 49077.9378539889. The cubic root of 2408643984 is about 1340.4713541904.

The spelling of 2408643984 in words is "two billion, four hundred eight million, six hundred forty-three thousand, nine hundred eighty-four".