2738987888 has 120 divisors (see below), whose sum is σ = 6863310720. Its totient is φ = 1048481280.

The previous prime is 2738987879. The next prime is 2738987891. The reversal of 2738987888 is 8887898372.

It is a super-2 number, since 2×2738987888² = 15004109301221401088, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 311618 + ... + 320286.

It is an arithmetic number, because the mean of its divisors is an integer number (57194256).

Almost surely, 2^2738987888 is an apocalyptic number.

2738987888 is a gapful number since it is divisible by the number (28) 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 2738987888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431655360).

2738987888 is an abundant number, since it is smaller than the sum of its proper divisors (4124322832).

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

2738987888 is a wasteful number, since it uses less digits than its factorization.

2738987888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735 (or 8722 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 68.

The square root of 2738987888 is about 52335.3407173394. The cubic root of 2738987888 is about 1399.1470804829.

The spelling of 2738987888 in words is "two billion, seven hundred thirty-eight million, nine hundred eighty-seven thousand, eight hundred eighty-eight".