2640338878032 has 200 divisors, whose sum is σ = 8160437936640. Its totient is φ = 822352124160.

The previous prime is 2640338878019. The next prime is 2640338878057. The reversal of 2640338878032 is 2308788330462.

2640338878032 is a `hidden beast` number, since 26 + 403 + 38 + 87 + 80 + 32 = 666.

2640338878032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2640338878032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32013 + ... + 2298195.

Almost surely, 2^{2640338878032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2640338878032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4080218968320).

2640338878032 is an abundant number, since it is smaller than the sum of its proper divisors (5520099058608).

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

2640338878032 is a wasteful number, since it uses less digits than its factorization.

2640338878032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266263 (or 2266248 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 2640338878032 in words is "two trillion, six hundred forty billion, three hundred thirty-eight million, eight hundred seventy-eight thousand, thirty-two".