2772137984 has 96 divisors (see below), whose sum is σ = 6911049600. Its totient is φ = 1079992320.

The previous prime is 2772137971. The next prime is 2772137993. The reversal of 2772137984 is 4897312772.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 148907 + ... + 166485.

It is an arithmetic number, because the mean of its divisors is an integer number (71990100).

Almost surely, 2^2772137984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772137984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455524800).

2772137984 is an abundant number, since it is smaller than the sum of its proper divisors (4138911616).

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

2772137984 is a wasteful number, since it uses less digits than its factorization.

2772137984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17619 (or 17599 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 50.

The square root of 2772137984 is about 52651.0967027279. The cubic root of 2772137984 is about 1404.7691069944.

The spelling of 2772137984 in words is "two billion, seven hundred seventy-two million, one hundred thirty-seven thousand, nine hundred eighty-four".