2253711470724 has 960 divisors, whose sum is σ = 7476783677440. Its totient is φ = 577754311680.

The previous prime is 2253711470719. The next prime is 2253711470741. The reversal of 2253711470724 is 4270741173522.

2253711470724 is a `hidden beast` number, since 2 + 2 + 537 + 1 + 1 + 47 + 0 + 72 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2253711470724.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14354850054 + ... + 14354850210.

Almost surely, 2^{2253711470724} 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 2253711470724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738391838720).

2253711470724 is an abundant number, since it is smaller than the sum of its proper divisors (5223072206716).

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

2253711470724 is a wasteful number, since it uses less digits than its factorization.

2253711470724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 2253711470724 in words is "two trillion, two hundred fifty-three billion, seven hundred eleven million, four hundred seventy thousand, seven hundred twenty-four".