2640406004000 has 48 divisors (see below), whose sum is σ = 6487477561656. Its totient is φ = 1056162400000.

The previous prime is 2640406003979. The next prime is 2640406004017. The reversal of 2640406004000 is 4006040462.

It can be written as a sum of positive squares in 4 ways, for example, as 427773553936 + 2212632450064 = 654044^2 + 1487492^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330046751 + ... + 330054750.

Almost surely, 2^{2640406004000} is an apocalyptic number.

2640406004000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2640406004000 is an abundant number, since it is smaller than the sum of its proper divisors (3847071557656).

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

2640406004000 is an equidigital number, since it uses as much as digits as its factorization.

2640406004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660101526 (or 660101508 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 2640406004000 in words is "two trillion, six hundred forty billion, four hundred six million, four thousand".