2254644400 has 60 divisors (see below), whose sum is σ = 5431295232. Its totient is φ = 899441920.

The previous prime is 2254644361. The next prime is 2254644421. The reversal of 2254644400 is 44464522.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145842 + ... + 160558.

Almost surely, 2^2254644400 is an apocalyptic number.

2254644400 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 2254644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715647616).

2254644400 is an abundant number, since it is smaller than the sum of its proper divisors (3176650832).

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

2254644400 is a wasteful number, since it uses less digits than its factorization.

2254644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15118 (or 15107 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 31.

The square root of 2254644400 is about 47483.0959395025. The cubic root of 2254644400 is about 1311.2716901431.

The spelling of 2254644400 in words is "two billion, two hundred fifty-four million, six hundred forty-four thousand, four hundred".