2282468800 has 42 divisors (see below), whose sum is σ = 5616303728. Its totient is φ = 912986880.

The previous prime is 2282468777. The next prime is 2282468827. The reversal of 2282468800 is 88642822.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 711672 + ... + 714871.

Almost surely, 2^2282468800 is an apocalyptic number.

2282468800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2282468800 is an abundant number, since it is smaller than the sum of its proper divisors (3333834928).

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

2282468800 is a wasteful number, since it uses less digits than its factorization.

2282468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426565 (or 1426550 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 2282468800 is about 47775.1902141687. The cubic root of 2282468800 is about 1316.6437539854.

The spelling of 2282468800 in words is "two billion, two hundred eighty-two million, four hundred sixty-eight thousand, eight hundred".