2053488984768 has 224 divisors, whose sum is σ = 6725435774400. Its totient is φ = 610054889472.

The previous prime is 2053488984763. The next prime is 2053488984769. The reversal of 2053488984768 is 8674898843502.

2053488984768 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 488 + 9 + 84 + 7 + 68 = 666.

It is a super-2 number, since 2×2053488984768² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2053488984696 and 2053488984705.

It is not an unprimeable number, because it can be changed into a prime (2053488984763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 924621 + ... + 2227532.

It is an arithmetic number, because the mean of its divisors is an integer number (30024266850).

Almost surely, 2^{2053488984768} is an apocalyptic number.

It is an amenable number.

2053488984768 is an abundant number, since it is smaller than the sum of its proper divisors (4671946789632).

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

2053488984768 is a wasteful number, since it uses less digits than its factorization.

2053488984768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152216 (or 3152200 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 2053488984768 in words is "two trillion, fifty-three billion, four hundred eighty-eight million, nine hundred eighty-four thousand, seven hundred sixty-eight".