2007640080 has 200 divisors, whose sum is σ = 6998105664. Its totient is φ = 533433600.

The previous prime is 2007640079. The next prime is 2007640081. The reversal of 2007640080 is 800467002.

It is an interprime number because it is at equal distance from previous prime (2007640079) and next prime (2007640081).

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

It is not an unprimeable number, because it can be changed into a prime (2007640081) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 3181365 + ... + 3181995.

Almost surely, 2^2007640080 is an apocalyptic number.

2007640080 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 2007640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499052832).

2007640080 is an abundant number, since it is smaller than the sum of its proper divisors (4990465584).

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

2007640080 is a wasteful number, since it uses less digits than its factorization.

2007640080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2007640080 is about 44806.6968208994. The cubic root of 2007640080 is about 1261.5233276377.

The spelling of 2007640080 in words is "two billion, seven million, six hundred forty thousand, eighty".