2553016824040 has 192 divisors, whose sum is σ = 6151898491200. Its totient is φ = 952949200896.

The previous prime is 2553016824037. The next prime is 2553016824041. The reversal of 2553016824040 is 404286103552.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2553016823984 and 2553016824002.

It is not an unprimeable number, because it can be changed into a prime (2553016824041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1436699632 + ... + 1436701408.

It is an arithmetic number, because the mean of its divisors is an integer number (32041137975).

Almost surely, 2^{2553016824040} is an apocalyptic number.

2553016824040 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 2553016824040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075949245600).

2553016824040 is an abundant number, since it is smaller than the sum of its proper divisors (3598881667160).

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

2553016824040 is a wasteful number, since it uses less digits than its factorization.

2553016824040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 2553016824040 in words is "two trillion, five hundred fifty-three billion, sixteen million, eight hundred twenty-four thousand, forty".