2801685400 has 96 divisors (see below), whose sum is σ = 6640200000. Its totient is φ = 1099105920.

The previous prime is 2801685307. The next prime is 2801685437. The reversal of 2801685400 is 45861082.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5614351 + ... + 5614849.

It is an arithmetic number, because the mean of its divisors is an integer number (69168750).

Almost surely, 2^2801685400 is an apocalyptic number.

2801685400 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 2801685400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3320100000).

2801685400 is an abundant number, since it is smaller than the sum of its proper divisors (3838514600).

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

2801685400 is a wasteful number, since it uses less digits than its factorization.

2801685400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 2801685400 is about 52930.9493585747. The cubic root of 2801685400 is about 1409.7424877211.

The spelling of 2801685400 in words is "two billion, eight hundred one million, six hundred eighty-five thousand, four hundred".