2680413617700 has 432 divisors, whose sum is σ = 10471357012480. Its totient is φ = 558377763840.

The previous prime is 2680413617681. The next prime is 2680413617719. The reversal of 2680413617700 is 77163140862.

2680413617700 is a `hidden beast` number, since 2 + 68 + 0 + 413 + 6 + 177 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2680413617681) and next prime (2680413617719).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 6262962 + ... + 6677238.

Almost surely, 2^{2680413617700} is an apocalyptic number.

2680413617700 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 2680413617700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235678506240).

2680413617700 is an abundant number, since it is smaller than the sum of its proper divisors (7790943394780).

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

2680413617700 is a wasteful number, since it uses less digits than its factorization.

2680413617700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414396 (or 414386 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2680413617700 in words is "two trillion, six hundred eighty billion, four hundred thirteen million, six hundred seventeen thousand, seven hundred".