2776872864 has 96 divisors (see below), whose sum is σ = 7549839360. Its totient is φ = 892742400.

The previous prime is 2776872853. The next prime is 2776872883. The reversal of 2776872864 is 4682786772.

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

It is a super-2 number, since 2×2776872864² = 15422045805639124992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983647 + ... + 986465.

It is an arithmetic number, because the mean of its divisors is an integer number (78644160).

Almost surely, 2^2776872864 is an apocalyptic number.

2776872864 is a gapful number since it is divisible by the number (24) 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 2776872864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774919680).

2776872864 is an abundant number, since it is smaller than the sum of its proper divisors (4772966496).

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

2776872864 is a wasteful number, since it uses less digits than its factorization.

2776872864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194 (or 3186 counting only the distinct ones).

The product of its digits is 12644352, while the sum is 57.

The square root of 2776872864 is about 52696.0422043250. The cubic root of 2776872864 is about 1405.5684454895.

The spelling of 2776872864 in words is "two billion, seven hundred seventy-six million, eight hundred seventy-two thousand, eight hundred sixty-four".