2640369744000 has 256 divisors, whose sum is σ = 9725363481600. Its totient is φ = 704098483200.

The previous prime is 2640369743987. The next prime is 2640369744011. The reversal of 2640369744000 is 4479630462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 2623984 + ... + 3487983.

It is an arithmetic number, because the mean of its divisors is an integer number (37989701100).

Almost surely, 2^{2640369744000} is an apocalyptic number.

2640369744000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2640369744000 is an abundant number, since it is smaller than the sum of its proper divisors (7084993737600).

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

2640369744000 is an equidigital number, since it uses as much as digits as its factorization.

2640369744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112005 (or 6111977 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2640369744000 in words is "two trillion, six hundred forty billion, three hundred sixty-nine million, seven hundred forty-four thousand".