2807116704 has 216 divisors, whose sum is σ = 9833120388. Its totient is φ = 754790400.

The previous prime is 2807116661. The next prime is 2807116709. The reversal of 2807116704 is 4076117082.

It can be written as a sum of positive squares in 2 ways, for example, as 2565625104 + 241491600 = 50652^2 + 15540^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2807116709) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234054 + ... + 245754.

Almost surely, 2^2807116704 is an apocalyptic number.

2807116704 is a gapful number since it is divisible by the number (24) 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 2807116704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4916560194).

2807116704 is an abundant number, since it is smaller than the sum of its proper divisors (7026003684).

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

2807116704 is a wasteful number, since it uses less digits than its factorization.

2807116704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11748 (or 11730 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2807116704 is about 52982.2300776402. The cubic root of 2807116704 is about 1410.6528680215.

The spelling of 2807116704 in words is "two billion, eight hundred seven million, one hundred sixteen thousand, seven hundred four".