2801611680 has 192 divisors, whose sum is σ = 10320887808. Its totient is φ = 625443840.

The previous prime is 2801611667. The next prime is 2801611711. The reversal of 2801611680 is 861161082.

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 31 ways as a sum of consecutive naturals, for example, 134785 + ... + 154175.

It is an arithmetic number, because the mean of its divisors is an integer number (53754624).

Almost surely, 2^2801611680 is an apocalyptic number.

2801611680 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 2801611680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160443904).

2801611680 is an abundant number, since it is smaller than the sum of its proper divisors (7519276128).

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

2801611680 is a wasteful number, since it uses less digits than its factorization.

2801611680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19459 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2801611680 is about 52930.2529750237. The cubic root of 2801611680 is about 1409.7301228867.

The spelling of 2801611680 in words is "two billion, eight hundred one million, six hundred eleven thousand, six hundred eighty".