2353137640 has 64 divisors (see below), whose sum is σ = 6067416960. Its totient is φ = 804591360.

The previous prime is 2353137629. The next prime is 2353137653. The reversal of 2353137640 is 467313532.

It is a junction number, because it is equal to n+sod(n) for n = 2353137596 and 2353137605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93175 + ... + 115705.

It is an arithmetic number, because the mean of its divisors is an integer number (94803390).

Almost surely, 2^2353137640 is an apocalyptic number.

2353137640 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 2353137640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033708480).

2353137640 is an abundant number, since it is smaller than the sum of its proper divisors (3714279320).

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

2353137640 is a wasteful number, since it uses less digits than its factorization.

2353137640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22922 (or 22918 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 34.

The square root of 2353137640 is about 48509.1500647043. The cubic root of 2353137640 is about 1330.0943344248.

The spelling of 2353137640 in words is "two billion, three hundred fifty-three million, one hundred thirty-seven thousand, six hundred forty".