2787117872 has 60 divisors (see below), whose sum is σ = 6783555408. Its totient is φ = 1085884800.

The previous prime is 2787117869. The next prime is 2787117913.

2787117872 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2787117872.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89279 + ... + 116382.

Almost surely, 2^2787117872 is an apocalyptic number.

2787117872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2787117872 is an abundant number, since it is smaller than the sum of its proper divisors (3996437536).

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

2787117872 is a wasteful number, since it uses less digits than its factorization.

2787117872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205698 (or 205681 counting only the distinct ones).

The product of its digits is 614656, while the sum is 50.

The square root of 2787117872 is about 52793.1612237797. The cubic root of 2787117872 is about 1407.2948943483.

The spelling of 2787117872 in words is "two billion, seven hundred eighty-seven million, one hundred seventeen thousand, eight hundred seventy-two".