2351968164 has 240 divisors, whose sum is σ = 7621753216. Its totient is φ = 615859200.

The previous prime is 2351968123. The next prime is 2351968183. The reversal of 2351968164 is 4618691532.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7105479 + ... + 7105809.

Almost surely, 2^2351968164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2351968164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810876608).

2351968164 is an abundant number, since it is smaller than the sum of its proper divisors (5269785052).

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

2351968164 is a wasteful number, since it uses less digits than its factorization.

2351968164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 597 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2351968164 is about 48497.0943871898. The cubic root of 2351968164 is about 1329.8739519114.

The spelling of 2351968164 in words is "two billion, three hundred fifty-one million, nine hundred sixty-eight thousand, one hundred sixty-four".