2680919366400 has 1458 divisors, whose sum is σ = 11200055830236. Its totient is φ = 611689267200.

The previous prime is 2680919366399. The next prime is 2680919366413. The reversal of 2680919366400 is 46639190862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2680919366400 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 91 + 93 + 66 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 157701139192 + ... + 157701139208.

Almost surely, 2^{2680919366400} is an apocalyptic number.

2680919366400 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 2680919366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600027915118).

2680919366400 is an abundant number, since it is smaller than the sum of its proper divisors (8519136463836).

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

2680919366400 is an frugal number, since it uses more digits than its factorization.

2680919366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 2680919366400 in words is "two trillion, six hundred eighty billion, nine hundred nineteen million, three hundred sixty-six thousand, four hundred".