2248656400 has 45 divisors (see below), whose sum is σ = 5404676493. Its totient is φ = 899083200.

The previous prime is 2248656379. The next prime is 2248656401. The reversal of 2248656400 is 46568422.

The square root of 2248656400 is 47420.

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., 809516304 + 1439140096 = 28452^2 + 37936^2 .

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 2248656400.

It is not an unprimeable number, because it can be changed into a prime (2248656401) 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, 947215 + ... + 949585.

Almost surely, 2^2248656400 is an apocalyptic number.

2248656400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2248656400 is the 47420-th square number.

It is an amenable number.

2248656400 is an abundant number, since it is smaller than the sum of its proper divisors (3156020093).

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

2248656400 is an frugal number, since it uses more digits than its factorization.

2248656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4760 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The cubic root of 2248656400 is about 1310.1098134543.

The spelling of 2248656400 in words is "two billion, two hundred forty-eight million, six hundred fifty-six thousand, four hundred".