2351360640 has 128 divisors (see below), whose sum is σ = 7539350400. Its totient is φ = 623316992.

The previous prime is 2351360623. The next prime is 2351360651. The reversal of 2351360640 is 460631532.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2351360598 and 2351360607.

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, 328621 + ... + 335699.

It is an arithmetic number, because the mean of its divisors is an integer number (58901175).

Almost surely, 2^2351360640 is an apocalyptic number.

2351360640 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 2351360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3769675200).

2351360640 is an abundant number, since it is smaller than the sum of its proper divisors (5187989760).

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

2351360640 is a wasteful number, since it uses less digits than its factorization.

2351360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7274 (or 7262 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2351360640 is about 48490.8304733998. The cubic root of 2351360640 is about 1329.7594379015.

The spelling of 2351360640 in words is "two billion, three hundred fifty-one million, three hundred sixty thousand, six hundred forty".