2353952160 has 432 divisors, whose sum is σ = 9493081416. Its totient is φ = 529514496.

The previous prime is 2353952149. The next prime is 2353952191. The reversal of 2353952160 is 612593532.

2353952160 is a `hidden beast` number, since 2 + 353 + 95 + 216 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2236533264 + 117418896 = 47292^2 + 10836^2 .

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 71 ways as a sum of consecutive naturals, for example, 5150652 + ... + 5151108.

Almost surely, 2^2353952160 is an apocalyptic number.

2353952160 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 2353952160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746540708).

2353952160 is an abundant number, since it is smaller than the sum of its proper divisors (7139129256).

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

2353952160 is a wasteful number, since it uses less digits than its factorization.

2353952160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 547 counting only the distinct ones).

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

The square root of 2353952160 is about 48517.5448678104. The cubic root of 2353952160 is about 1330.2477839356.

The spelling of 2353952160 in words is "two billion, three hundred fifty-three million, nine hundred fifty-two thousand, one hundred sixty".