2761881672 has 32 divisors (see below), whose sum is σ = 7532405280. Its totient is φ = 836933760.

The previous prime is 2761881641. The next prime is 2761881709.

2761881672 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5230573 + ... + 5231100.

It is an arithmetic number, because the mean of its divisors is an integer number (235387665).

Almost surely, 2^2761881672 is an apocalyptic number.

2761881672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2761881672 is an abundant number, since it is smaller than the sum of its proper divisors (4770523608).

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

2761881672 is a wasteful number, since it uses less digits than its factorization.

2761881672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461693 (or 10461689 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 2761881672 is about 52553.6076021428. The cubic root of 2761881672 is about 1403.0345185689.

The spelling of 2761881672 in words is "two billion, seven hundred sixty-one million, eight hundred eighty-one thousand, six hundred seventy-two".