2802703680 has 672 divisors, whose sum is σ = 12071055360. Its totient is φ = 604661760.

The previous prime is 2802703669. The next prime is 2802703681. The reversal of 2802703680 is 863072082.

It is a happy number.

2802703680 is a `hidden beast` number, since 28 + 0 + 270 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2802703681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10341945 + ... + 10342215.

It is an arithmetic number, because the mean of its divisors is an integer number (17962880).

Almost surely, 2^2802703680 is an apocalyptic number.

2802703680 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 2802703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035527680).

2802703680 is an abundant number, since it is smaller than the sum of its proper divisors (9268351680).

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

2802703680 is a wasteful number, since it uses less digits than its factorization.

2802703680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2802703680 is about 52940.5674317909. The cubic root of 2802703680 is about 1409.9132585842.

The spelling of 2802703680 in words is "two billion, eight hundred two million, seven hundred three thousand, six hundred eighty".