2253809187828 has 240 divisors, whose sum is σ = 6649792934400. Its totient is φ = 659454566400.

The previous prime is 2253809187739. The next prime is 2253809187853. The reversal of 2253809187828 is 8287819083522.

2253809187828 is a `hidden beast` number, since 2 + 2 + 538 + 0 + 9 + 1 + 8 + 78 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49584600 + ... + 49630032.

It is an arithmetic number, because the mean of its divisors is an integer number (27707470560).

Almost surely, 2^{2253809187828} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2253809187828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324896467200).

2253809187828 is an abundant number, since it is smaller than the sum of its proper divisors (4395983746572).

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

2253809187828 is a wasteful number, since it uses less digits than its factorization.

2253809187828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45940 (or 45929 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 2253809187828 in words is "two trillion, two hundred fifty-three billion, eight hundred nine million, one hundred eighty-seven thousand, eight hundred twenty-eight".