2253808221279 has 32 divisors (see below), whose sum is σ = 3153574262784. Its totient is φ = 1430016560640.

The previous prime is 2253808221271. The next prime is 2253808221311. The reversal of 2253808221279 is 9721228083522.

It is a happy number.

It is not a de Polignac number, because 2253808221279 - 2³ = 2253808221271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253808221271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1877427 + ... + 2834139.

It is an arithmetic number, because the mean of its divisors is an integer number (98549195712).

Almost surely, 2^{2253808221279} is an apocalyptic number.

2253808221279 is a deficient number, since it is larger than the sum of its proper divisors (899766041505).

2253808221279 is a wasteful number, since it uses less digits than its factorization.

2253808221279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957167.

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 2253808221279 in words is "two trillion, two hundred fifty-three billion, eight hundred eight million, two hundred twenty-one thousand, two hundred seventy-nine".