2607938640 has 80 divisors (see below), whose sum is σ = 8982907200. Its totient is φ = 695449728.

The previous prime is 2607938623. The next prime is 2607938647. The reversal of 2607938640 is 468397062.

2607938640 is a `hidden beast` number, since 2 + 607 + 9 + 38 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2607938647) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 601530 + ... + 605849.

It is an arithmetic number, because the mean of its divisors is an integer number (112286340).

Almost surely, 2^2607938640 is an apocalyptic number.

2607938640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2607938640 is an abundant number, since it is smaller than the sum of its proper divisors (6374968560).

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

2607938640 is a wasteful number, since it uses less digits than its factorization.

2607938640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207401 (or 1207389 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2607938640 is about 51067.9805749160. The cubic root of 2607938640 is about 1376.4669549349.

The spelling of 2607938640 in words is "two billion, six hundred seven million, nine hundred thirty-eight thousand, six hundred forty".