2048872320 has 320 divisors, whose sum is σ = 7984286640. Its totient is φ = 496558080.

The previous prime is 2048872303. The next prime is 2048872337. The reversal of 2048872320 is 232788402.

It is an interprime number because it is at equal distance from previous prime (2048872303) and next prime (2048872337).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 568444 + ... + 572036.

Almost surely, 2^2048872320 is an apocalyptic number.

2048872320 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 2048872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992143320).

2048872320 is an abundant number, since it is smaller than the sum of its proper divisors (5935414320).

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

2048872320 is a wasteful number, since it uses less digits than its factorization.

2048872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3635 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 2048872320 is about 45264.4708353030. The cubic root of 2048872320 is about 1270.1011182843.

The spelling of 2048872320 in words is "two billion, forty-eight million, eight hundred seventy-two thousand, three hundred twenty".