2654513520456 has 128 divisors (see below), whose sum is σ = 7715284992000. Its totient is φ = 745344417792.

The previous prime is 2654513520409. The next prime is 2654513520473. The reversal of 2654513520456 is 6540253154562.

2654513520456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32956825 + ... + 33037271.

It is an arithmetic number, because the mean of its divisors is an integer number (60275664000).

Almost surely, 2^{2654513520456} 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 2654513520456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857642496000).

2654513520456 is an abundant number, since it is smaller than the sum of its proper divisors (5060771471544).

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

2654513520456 is a wasteful number, since it uses less digits than its factorization.

2654513520456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83851 (or 83847 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 2654513520456 in words is "two trillion, six hundred fifty-four billion, five hundred thirteen million, five hundred twenty thousand, four hundred fifty-six".