2251248993 has 36 divisors (see below), whose sum is σ = 3947194368. Its totient is φ = 1230490800.

The previous prime is 2251248983. The next prime is 2251249031. The reversal of 2251248993 is 3998421522.

2251248993 is a `hidden beast` number, since 2 + 2 + 512 + 48 + 9 + 93 = 666.

It is not a de Polignac number, because 2251248993 - 2²⁶ = 2184140129 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2251248983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100833 + ... + 121118.

It is an arithmetic number, because the mean of its divisors is an integer number (109644288).

Almost surely, 2^2251248993 is an apocalyptic number.

2251248993 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2251248993 is a deficient number, since it is larger than the sum of its proper divisors (1695945375).

2251248993 is a wasteful number, since it uses less digits than its factorization.

2251248993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221994 (or 221984 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2251248993 is about 47447.3286181635. The cubic root of 2251248993 is about 1310.6131180057.

The spelling of 2251248993 in words is "two billion, two hundred fifty-one million, two hundred forty-eight thousand, nine hundred ninety-three".