2353561920 has 504 divisors, whose sum is σ = 8998610400. Its totient is φ = 584506368.

The previous prime is 2353561919. The next prime is 2353561921. The reversal of 2353561920 is 291653532.

2353561920 is a `hidden beast` number, since 2 + 3 + 5 + 3 + 561 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2353561919) and next prime (2353561921).

It is a super-2 number, since 2×2353561920² = 11078507422548172800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353561921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39890851 + ... + 39890909.

Almost surely, 2^2353561920 is an apocalyptic number.

2353561920 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 2353561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499305200).

2353561920 is an abundant number, since it is smaller than the sum of its proper divisors (6645048480).

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

2353561920 is an frugal number, since it uses more digits than its factorization.

2353561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2353561920 is about 48513.5230631625. The cubic root of 2353561920 is about 1330.1742700394.

The spelling of 2353561920 in words is "two billion, three hundred fifty-three million, five hundred sixty-one thousand, nine hundred twenty".