2735891984 has 40 divisors (see below), whose sum is σ = 6120524928. Its totient is φ = 1160432640.

The previous prime is 2735891981. The next prime is 2735891989. The reversal of 2735891984 is 4891985372.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (2735891981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115052 + ... + 136779.

Almost surely, 2^2735891984 is an apocalyptic number.

It is an amenable number.

2735891984 is an abundant number, since it is smaller than the sum of its proper divisors (3384632944).

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

2735891984 is a wasteful number, since it uses less digits than its factorization.

2735891984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251943 (or 251937 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 56.

The square root of 2735891984 is about 52305.7547885508. The cubic root of 2735891984 is about 1398.6197253343.

The spelling of 2735891984 in words is "two billion, seven hundred thirty-five million, eight hundred ninety-one thousand, nine hundred eighty-four".