2352666400 has 108 divisors (see below), whose sum is σ = 6681263778. Its totient is φ = 806615040.

The previous prime is 2352666367. The next prime is 2352666401. The reversal of 2352666400 is 46662532.

It can be written as a sum of positive squares in 3 ways, for example, as 2116368016 + 236298384 = 46004^2 + 15372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2352666401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9192 + ... + 69208.

Almost surely, 2^2352666400 is an apocalyptic number.

2352666400 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 2352666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340631889).

2352666400 is an abundant number, since it is smaller than the sum of its proper divisors (4328597378).

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

2352666400 is a wasteful number, since it uses less digits than its factorization.

2352666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60051 (or 60031 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 2352666400 is about 48504.2925935427. The cubic root of 2352666400 is about 1330.0055401431.

The spelling of 2352666400 in words is "two billion, three hundred fifty-two million, six hundred sixty-six thousand, four hundred".