2640882406410 has 96 divisors (see below), whose sum is σ = 7034500326672. Its totient is φ = 686986997760.

The previous prime is 2640882406399. The next prime is 2640882406411. The reversal of 2640882406410 is 146042880462.

2640882406410 is a `hidden beast` number, since 264 + 0 + 88 + 240 + 64 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1679857064649 + 961025341761 = 1296093^2 + 980319^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2640882406411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41506542 + ... + 41570118.

Almost surely, 2^{2640882406410} is an apocalyptic number.

2640882406410 is an abundant number, since it is smaller than the sum of its proper divisors (4393617920262).

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

2640882406410 is a wasteful number, since it uses less digits than its factorization.

2640882406410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74888 (or 74885 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2640882406410 in words is "two trillion, six hundred forty billion, eight hundred eighty-two million, four hundred six thousand, four hundred ten".