2253674828160 has 2304 divisors, whose sum is σ = 10031898859200. Its totient is φ = 476563046400.

The previous prime is 2253674828147. The next prime is 2253674828201. The reversal of 2253674828160 is 618284763522.

2253674828160 is a `hidden beast` number, since 2 + 2 + 536 + 7 + 48 + 2 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2253674828097 and 2253674828106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22313612110 + ... + 22313612210.

Almost surely, 2^{2253674828160} is an apocalyptic number.

2253674828160 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 2253674828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015949429600).

2253674828160 is an abundant number, since it is smaller than the sum of its proper divisors (7778224031040).

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

2253674828160 is a wasteful number, since it uses less digits than its factorization.

2253674828160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 210 counting only the distinct ones).

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

The spelling of 2253674828160 in words is "two trillion, two hundred fifty-three billion, six hundred seventy-four million, eight hundred twenty-eight thousand, one hundred sixty".