2007613080 has 128 divisors (see below), whose sum is σ = 7300454400. Its totient is φ = 486691200.

The previous prime is 2007613063. The next prime is 2007613087. The reversal of 2007613080 is 803167002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007613087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72616 + ... + 96375.

It is an arithmetic number, because the mean of its divisors is an integer number (57034800).

Almost surely, 2^2007613080 is an apocalyptic number.

2007613080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007613080 is an abundant number, since it is smaller than the sum of its proper divisors (5292841320).

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

2007613080 is a wasteful number, since it uses less digits than its factorization.

2007613080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169022 (or 169012 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2007613080 is about 44806.3955256390. The cubic root of 2007613080 is about 1261.5176723606.

It can be divided in two parts, 200761 and 3080, that added together give a triangular number (203841 = T₆₃₈).

The spelling of 2007613080 in words is "two billion, seven million, six hundred thirteen thousand, eighty".