2667765984 has 96 divisors (see below), whose sum is σ = 7938564480. Its totient is φ = 777641472.

The previous prime is 2667765917. The next prime is 2667766027. The reversal of 2667765984 is 4895677662.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 32542 + ... + 79965.

It is an arithmetic number, because the mean of its divisors is an integer number (82693380).

Almost surely, 2^2667765984 is an apocalyptic number.

2667765984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2667765984 is an abundant number, since it is smaller than the sum of its proper divisors (5270798496).

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

2667765984 is a wasteful number, since it uses less digits than its factorization.

2667765984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112552 (or 112544 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 60.

The square root of 2667765984 is about 51650.4209469778. The cubic root of 2667765984 is about 1386.9130785389.

The spelling of 2667765984 in words is "two billion, six hundred sixty-seven million, seven hundred sixty-five thousand, nine hundred eighty-four".