2253883806720 has 2112 divisors, whose sum is σ = 10057169740800. Its totient is φ = 454060670976.

The previous prime is 2253883806703. The next prime is 2253883806731. The reversal of 2253883806720 is 276083883522.

2253883806720 is a `hidden beast` number, since 2 + 2 + 538 + 8 + 3 + 80 + 6 + 7 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11326049181 + ... + 11326049379.

Almost surely, 2^{2253883806720} is an apocalyptic number.

2253883806720 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 2253883806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028584870400).

2253883806720 is an abundant number, since it is smaller than the sum of its proper divisors (7803285934080).

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

2253883806720 is a wasteful number, since it uses less digits than its factorization.

2253883806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

It can be divided in two parts, 2253883 and 806720, that added together give a palindrome (3060603).

The spelling of 2253883806720 in words is "two trillion, two hundred fifty-three billion, eight hundred eighty-three million, eight hundred six thousand, seven hundred twenty".