2267664400 has 45 divisors (see below), whose sum is σ = 5450352823. Its totient is φ = 906684800.

The previous prime is 2267664389. The next prime is 2267664401. The reversal of 2267664400 is 44667622.

The square root of 2267664400 is 47620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1387711504 + 879952896 = 37252^2 + 29664^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2267664400.

It is not an unprimeable number, because it can be changed into a prime (2267664401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 951210 + ... + 953590.

Almost surely, 2^2267664400 is an apocalyptic number.

2267664400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2267664400 is the 47620-th square number.

It is an amenable number.

2267664400 is an abundant number, since it is smaller than the sum of its proper divisors (3182688423).

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

2267664400 is an frugal number, since it uses more digits than its factorization.

2267664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The cubic root of 2267664400 is about 1313.7909342449.

The spelling of 2267664400 in words is "two billion, two hundred sixty-seven million, six hundred sixty-four thousand, four hundred".