2355613920 has 384 divisors, whose sum is σ = 9471168000. Its totient is φ = 540794880.

The previous prime is 2355613919. The next prime is 2355613927. The reversal of 2355613920 is 293165532.

2355613920 is a `hidden beast` number, since 2 + 3 + 5 + 561 + 3 + 92 + 0 = 666.

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 (2355613927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 901576 + ... + 904184.

It is an arithmetic number, because the mean of its divisors is an integer number (24664500).

Almost surely, 2^2355613920 is an apocalyptic number.

2355613920 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 2355613920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735584000).

2355613920 is an abundant number, since it is smaller than the sum of its proper divisors (7115554080).

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

2355613920 is a wasteful number, since it uses less digits than its factorization.

2355613920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663 (or 2649 counting only the distinct ones).

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

The square root of 2355613920 is about 48534.6671977876. The cubic root of 2355613920 is about 1330.5607374191.

The spelling of 2355613920 in words is "two billion, three hundred fifty-five million, six hundred thirteen thousand, nine hundred twenty".