2253883968 has 420 divisors, whose sum is σ = 8198601840. Its totient is φ = 608767488.

The previous prime is 2253883903. The next prime is 2253883999. The reversal of 2253883968 is 8693883522.

2253883968 is a `hidden beast` number, since 22 + 538 + 83 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4826071 + ... + 4826537.

Almost surely, 2^2253883968 is an apocalyptic number.

2253883968 is a gapful number since it is divisible by the number (28) 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 2253883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4099300920).

2253883968 is an abundant number, since it is smaller than the sum of its proper divisors (5944717872).

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

2253883968 is a wasteful number, since it uses less digits than its factorization.

2253883968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 498 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 2253883968 is about 47475.0878672173. The cubic root of 2253883968 is about 1311.1242544652.

The spelling of 2253883968 in words is "two billion, two hundred fifty-three million, eight hundred eighty-three thousand, nine hundred sixty-eight".