2680749410640 has 320 divisors, whose sum is σ = 9807130017792. Its totient is φ = 592780492800.

The previous prime is 2680749410639. The next prime is 2680749410653. The reversal of 2680749410640 is 460149470862.

It is a happy number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 204303280 + ... + 204316400.

Almost surely, 2^{2680749410640} is an apocalyptic number.

2680749410640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680749410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903565008896).

2680749410640 is an abundant number, since it is smaller than the sum of its proper divisors (7126380607152).

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

2680749410640 is a wasteful number, since it uses less digits than its factorization.

2680749410640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17098 (or 17092 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 2680749410640 in words is "two trillion, six hundred eighty billion, seven hundred forty-nine million, four hundred ten thousand, six hundred forty".