2007138840 has 64 divisors (see below), whose sum is σ = 6881621760. Its totient is φ = 458774400.

The previous prime is 2007138839. The next prime is 2007138863. The reversal of 2007138840 is 488317002.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1193886 + ... + 1195565.

It is an arithmetic number, because the mean of its divisors is an integer number (107525340).

Almost surely, 2^2007138840 is an apocalyptic number.

2007138840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007138840 is an abundant number, since it is smaller than the sum of its proper divisors (4874482920).

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

2007138840 is a wasteful number, since it uses less digits than its factorization.

2007138840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389472 (or 2389468 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2007138840 is about 44801.1031114190. The cubic root of 2007138840 is about 1261.4183322935.

The spelling of 2007138840 in words is "two billion, seven million, one hundred thirty-eight thousand, eight hundred forty".