2653042428792 has 320 divisors, whose sum is σ = 8770812272640. Its totient is φ = 733199040000.

The previous prime is 2653042428767. The next prime is 2653042428821. The reversal of 2653042428792 is 2978242403562.

2653042428792 is a `hidden beast` number, since 2 + 6 + 5 + 304 + 242 + 8 + 7 + 92 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 421985473 + ... + 421991759.

It is an arithmetic number, because the mean of its divisors is an integer number (27408788352).

Almost surely, 2^{2653042428792} 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 2653042428792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385406136320).

2653042428792 is an abundant number, since it is smaller than the sum of its proper divisors (6117769843848).

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

2653042428792 is a wasteful number, since it uses less digits than its factorization.

2653042428792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 9331 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 2653042428792 in words is "two trillion, six hundred fifty-three billion, forty-two million, four hundred twenty-eight thousand, seven hundred ninety-two".