2640867000 has 256 divisors, whose sum is σ = 8774438400. Its totient is φ = 659404800.

The previous prime is 2640866993. The next prime is 2640867037. The reversal of 2640867000 is 7680462.

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 63 ways as a sum of consecutive naturals, for example, 6098784 + ... + 6099216.

It is an arithmetic number, because the mean of its divisors is an integer number (34275150).

Almost surely, 2^2640867000 is an apocalyptic number.

2640867000 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 2640867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

2640867000 is an abundant number, since it is smaller than the sum of its proper divisors (6133571400).

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

2640867000 is a wasteful number, since it uses less digits than its factorization.

2640867000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2640867000 is about 51389.3666043862. The cubic root of 2640867000 is about 1382.2359258303.

The spelling of 2640867000 in words is "two billion, six hundred forty million, eight hundred sixty-seven thousand".