2601413136 has 180 divisors, whose sum is σ = 8538596352. Its totient is φ = 737154432.

The previous prime is 2601413123. The next prime is 2601413149. The reversal of 2601413136 is 6313141062.

2601413136 is a `hidden beast` number, since 2 + 601 + 41 + 3 + 13 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2601413123) and next prime (2601413149).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 894661 + ... + 897563.

Almost surely, 2^2601413136 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 2601413136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269298176).

2601413136 is an abundant number, since it is smaller than the sum of its proper divisors (5937183216).

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

2601413136 is a wasteful number, since it uses less digits than its factorization.

2601413136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2601413136 is about 51004.0501921171. The cubic root of 2601413136 is about 1375.3179449434.

Adding to 2601413136 its reverse (6313141062), we get a palindrome (8914554198).

The spelling of 2601413136 in words is "two billion, six hundred one million, four hundred thirteen thousand, one hundred thirty-six".