2376668320 has 288 divisors, whose sum is σ = 6621244560. Its totient is φ = 799948800.

The previous prime is 2376668309. The next prime is 2376668321. The reversal of 2376668320 is 238666732.

It can be written as a sum of positive squares in 8 ways, for example, as 144672784 + 2231995536 = 12028^2 + 47244^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2376668321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57967500 + ... + 57967540.

Almost surely, 2^2376668320 is an apocalyptic number.

2376668320 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 2376668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310622280).

2376668320 is an abundant number, since it is smaller than the sum of its proper divisors (4244576240).

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

2376668320 is a wasteful number, since it uses less digits than its factorization.

2376668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The square root of 2376668320 is about 48751.0853212521. The cubic root of 2376668320 is about 1334.5131545973.

The spelling of 2376668320 in words is "two billion, three hundred seventy-six million, six hundred sixty-eight thousand, three hundred twenty".