2654461656 has 192 divisors, whose sum is σ = 8990092800. Its totient is φ = 687398400.

The previous prime is 2654461639. The next prime is 2654461661. The reversal of 2654461656 is 6561644562.

2654461656 is a `hidden beast` number, since 26 + 5 + 4 + 4 + 616 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2887965 + ... + 2888883.

It is an arithmetic number, because the mean of its divisors is an integer number (46823400).

Almost surely, 2^2654461656 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 2654461656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495046400).

2654461656 is an abundant number, since it is smaller than the sum of its proper divisors (6335631144).

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

2654461656 is a wasteful number, since it uses less digits than its factorization.

2654461656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1463 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 2654461656 is about 51521.4679138706. The cubic root of 2654461656 is about 1384.6036923856.

The spelling of 2654461656 in words is "two billion, six hundred fifty-four million, four hundred sixty-one thousand, six hundred fifty-six".