2352801920 has 256 divisors, whose sum is σ = 6850483200. Its totient is φ = 754790400.

The previous prime is 2352801881. The next prime is 2352801973. The reversal of 2352801920 is 291082532.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11150615 + ... + 11150825.

It is an arithmetic number, because the mean of its divisors is an integer number (26759700).

Almost surely, 2^2352801920 is an apocalyptic number.

2352801920 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 2352801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425241600).

2352801920 is an abundant number, since it is smaller than the sum of its proper divisors (4497681280).

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

2352801920 is a wasteful number, since it uses less digits than its factorization.

2352801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2352801920 is about 48505.6895631842. The cubic root of 2352801920 is about 1330.0310769681.

The spelling of 2352801920 in words is "two billion, three hundred fifty-two million, eight hundred one thousand, nine hundred twenty".