2048724864 has 96 divisors (see below), whose sum is σ = 5907330000. Its totient is φ = 681529344.

The previous prime is 2048724857. The next prime is 2048724919. The reversal of 2048724864 is 4684278402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 681637 + ... + 684635.

Almost surely, 2^2048724864 is an apocalyptic number.

2048724864 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 2048724864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953665000).

2048724864 is an abundant number, since it is smaller than the sum of its proper divisors (3858605136).

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

2048724864 is a wasteful number, since it uses less digits than its factorization.

2048724864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2048724864 is about 45262.8419788241. The cubic root of 2048724864 is about 1270.0706481045.

The spelling of 2048724864 in words is "two billion, forty-eight million, seven hundred twenty-four thousand, eight hundred sixty-four".