2601263808 has 560 divisors, whose sum is σ = 9448860960. Its totient is φ = 702535680.

The previous prime is 2601263807. The next prime is 2601263813. The reversal of 2601263808 is 8083621062.

2601263808 is a `hidden beast` number, since 2 + 6 + 0 + 12 + 638 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2601263807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89698738 + ... + 89698766.

It is an arithmetic number, because the mean of its divisors is an integer number (16872966).

Almost surely, 2^2601263808 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 2601263808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724430480).

2601263808 is an abundant number, since it is smaller than the sum of its proper divisors (6847597152).

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

2601263808 is a wasteful number, since it uses less digits than its factorization.

2601263808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2601263808 is about 51002.5862873639. The cubic root of 2601263808 is about 1375.2916288097.

The spelling of 2601263808 in words is "two billion, six hundred one million, two hundred sixty-three thousand, eight hundred eight".