2640584000 has 224 divisors, whose sum is σ = 6938320896. Its totient is φ = 993484800.

The previous prime is 2640583997. The next prime is 2640584003. The reversal of 2640584000 is 4850462.

It is an interprime number because it is at equal distance from previous prime (2640583997) and next prime (2640584003).

It is a super-2 number, since 2×2640584000² = 13945367722112000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640584003) 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 31 ways as a sum of consecutive naturals, for example, 20791937 + ... + 20792063.

Almost surely, 2^2640584000 is an apocalyptic number.

2640584000 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 2640584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469160448).

2640584000 is an abundant number, since it is smaller than the sum of its proper divisors (4297736896).

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

2640584000 is a wasteful number, since it uses less digits than its factorization.

2640584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 2640584000 is about 51386.6130426982. The cubic root of 2640584000 is about 1382.1865497806.

The spelling of 2640584000 in words is "two billion, six hundred forty million, five hundred eighty-four thousand".