2600427456 has 168 divisors, whose sum is σ = 8403610320. Its totient is φ = 787944960.

The previous prime is 2600427443. The next prime is 2600427463. The reversal of 2600427456 is 6547240062.

2600427456 is a `hidden beast` number, since 2 + 600 + 4 + 2 + 7 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2600427456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202870 + ... + 215306.

It is an arithmetic number, because the mean of its divisors is an integer number (50021490).

Almost surely, 2^2600427456 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 2600427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201805160).

2600427456 is an abundant number, since it is smaller than the sum of its proper divisors (5803182864).

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

2600427456 is a wasteful number, since it uses less digits than its factorization.

2600427456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12480 (or 12453 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2600427456 is about 50994.3865145959. The cubic root of 2600427456 is about 1375.1442195394.

The spelling of 2600427456 in words is "two billion, six hundred million, four hundred twenty-seven thousand, four hundred fifty-six".