2607136640 has 64 divisors (see below), whose sum is σ = 6265276560. Its totient is φ = 1037402112.

The previous prime is 2607136639. The next prime is 2607136657. The reversal of 2607136640 is 466317062.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2607136640² = 13594322919260979200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2607136640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112967 + ... + 134073.

Almost surely, 2^2607136640 is an apocalyptic number.

2607136640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2607136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132638280).

2607136640 is an abundant number, since it is smaller than the sum of its proper divisors (3658139920).

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

2607136640 is a wasteful number, since it uses less digits than its factorization.

2607136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21319 (or 21307 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 2607136640 is about 51060.1276927506. The cubic root of 2607136640 is about 1376.3258422491.

The spelling of 2607136640 in words is "two billion, six hundred seven million, one hundred thirty-six thousand, six hundred forty".