2787887872 has 144 divisors (see below), whose sum is σ = 6979295232. Its totient is φ = 1079746560.

The previous prime is 2787887831. The next prime is 2787887881.

2787887872 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4592593 + ... + 4593199.

It is an arithmetic number, because the mean of its divisors is an integer number (48467328).

Almost surely, 2^2787887872 is an apocalyptic number.

2787887872 is a gapful number since it is divisible by the number (22) 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 2787887872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489647616).

2787887872 is an abundant number, since it is smaller than the sum of its proper divisors (4191407360).

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

2787887872 is a wasteful number, since it uses less digits than its factorization.

2787887872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 860 counting only the distinct ones).

The product of its digits is 39337984, while the sum is 64.

The square root of 2787887872 is about 52800.4533313872. The cubic root of 2787887872 is about 1407.4244806979.

The spelling of 2787887872 in words is "two billion, seven hundred eighty-seven million, eight hundred eighty-seven thousand, eight hundred seventy-two".