2680906201344 has 864 divisors, whose sum is σ = 9461940902400. Its totient is φ = 755665956864.

The previous prime is 2680906201327. The next prime is 2680906201397. The reversal of 2680906201344 is 4431026090862.

2680906201344 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 9 + 0 + 620 + 13 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 2680906201344.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2167263894 + ... + 2167265130.

Almost surely, 2^{2680906201344} is an apocalyptic number.

2680906201344 is a gapful number since it is divisible by the number (24) 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 2680906201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4730970451200).

2680906201344 is an abundant number, since it is smaller than the sum of its proper divisors (6781034701056).

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

2680906201344 is an frugal number, since it uses more digits than its factorization.

2680906201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2680906201344 in words is "two trillion, six hundred eighty billion, nine hundred six million, two hundred one thousand, three hundred forty-four".