2601516456 has 288 divisors, whose sum is σ = 9162316800. Its totient is φ = 651974400.

The previous prime is 2601516451. The next prime is 2601516473. The reversal of 2601516456 is 6546151062.

2601516456 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 5 + 1 + 645 + 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 2601516456.

It is not an unprimeable number, because it can be changed into a prime (2601516451) 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 71 ways as a sum of consecutive naturals, for example, 1767801 + ... + 1769271.

It is an arithmetic number, because the mean of its divisors is an integer number (31813600).

Almost surely, 2^2601516456 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 2601516456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581158400).

2601516456 is an abundant number, since it is smaller than the sum of its proper divisors (6560800344).

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

2601516456 is a wasteful number, since it uses less digits than its factorization.

2601516456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2601516456 is about 51005.0630428000. The cubic root of 2601516456 is about 1375.3361524793.

The spelling of 2601516456 in words is "two billion, six hundred one million, five hundred sixteen thousand, four hundred fifty-six".