2296326400 has 81 divisors (see below), whose sum is σ = 5693271241. Its totient is φ = 916997120.

The previous prime is 2296326353. The next prime is 2296326413. The reversal of 2296326400 is 46236922.

It is a happy number.

The square root of 2296326400 is 47920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 826677504 + 1469648896 = 28752^2 + 38336^2 .

It is a super-2 number, since 2×2296326400² = 10546229870673920000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3833301 + ... + 3833899.

Almost surely, 2^2296326400 is an apocalyptic number.

2296326400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2296326400 is the 47920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2296326400

2296326400 is an abundant number, since it is smaller than the sum of its proper divisors (3396944841).

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

2296326400 is an frugal number, since it uses more digits than its factorization.

2296326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The cubic root of 2296326400 is about 1319.3029683885.

The spelling of 2296326400 in words is "two billion, two hundred ninety-six million, three hundred twenty-six thousand, four hundred".