2353039920 has 240 divisors, whose sum is σ = 9852440832. Its totient is φ = 488931840.

The previous prime is 2353039919. The next prime is 2353039967. The reversal of 2353039920 is 299303532.

2353039920 is a `hidden beast` number, since 2 + 3 + 530 + 39 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2353039920² = 11073593730227212800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34219 + ... + 76661.

Almost surely, 2^2353039920 is an apocalyptic number.

2353039920 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 2353039920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4926220416).

2353039920 is an abundant number, since it is smaller than the sum of its proper divisors (7499400912).

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

2353039920 is a wasteful number, since it uses less digits than its factorization.

2353039920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42480 (or 42471 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 2353039920 is about 48508.1428215923. The cubic root of 2353039920 is about 1330.0759223247.

The spelling of 2353039920 in words is "two billion, three hundred fifty-three million, thirty-nine thousand, nine hundred twenty".