2640287624000 has 112 divisors (see below), whose sum is σ = 7041647370576. Its totient is φ = 974875392000.

The previous prime is 2640287623999. The next prime is 2640287624017. The reversal of 2640287624000 is 4267820462.

It can be written as a sum of positive squares in 8 ways, for example, as 501252672064 + 2139034951936 = 707992^2 + 1462544^2 .

It is a super-2 number, since 2×2640287624000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12589691 + ... + 12797690.

It is an arithmetic number, because the mean of its divisors is an integer number (62871851523).

Almost surely, 2^{2640287624000} is an apocalyptic number.

2640287624000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2640287624000 is an abundant number, since it is smaller than the sum of its proper divisors (4401359746576).

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

2640287624000 is a wasteful number, since it uses less digits than its factorization.

2640287624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387421 (or 25387401 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 41.

The spelling of 2640287624000 in words is "two trillion, six hundred forty billion, two hundred eighty-seven million, six hundred twenty-four thousand".