2680823160 has 192 divisors, whose sum is σ = 9475315200. Its totient is φ = 654594048.

The previous prime is 2680823147. The next prime is 2680823231. The reversal of 2680823160 is 613280862.

2680823160 is a `hidden beast` number, since 268 + 0 + 82 + 316 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220521 + ... + 232359.

It is an arithmetic number, because the mean of its divisors is an integer number (49350600).

Almost surely, 2^2680823160 is an apocalyptic number.

2680823160 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 2680823160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737657600).

2680823160 is an abundant number, since it is smaller than the sum of its proper divisors (6794492040).

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

2680823160 is a wasteful number, since it uses less digits than its factorization.

2680823160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11910 (or 11903 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2680823160 is about 51776.6661730938. Note that the first 3 decimals coincide. The cubic root of 2680823160 is about 1389.1721102157.

The spelling of 2680823160 in words is "two billion, six hundred eighty million, eight hundred twenty-three thousand, one hundred sixty".