2776776772 has 96 divisors (see below), whose sum is σ = 6288758784. Its totient is φ = 1041465600.

The previous prime is 2776776763. The next prime is 2776776781.

2776776772 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2776776763) and next prime (2776776781).

Its product of digits (16941456) is a multiple of the sum of its prime divisors (3087).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938848 + ... + 941800.

It is an arithmetic number, because the mean of its divisors is an integer number (65507904).

Almost surely, 2^2776776772 is an apocalyptic number.

2776776772 is a gapful number since it is divisible by the number (22) 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 2776776772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144379392).

2776776772 is an abundant number, since it is smaller than the sum of its proper divisors (3511982012).

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

2776776772 is a wasteful number, since it uses less digits than its factorization.

2776776772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3087 counting only the distinct ones).

The product of its digits is 16941456, while the sum is 58.

The square root of 2776776772 is about 52695.1304391592. The cubic root of 2776776772 is about 1405.5522323548.

The spelling of 2776776772 in words is "two billion, seven hundred seventy-six million, seven hundred seventy-six thousand, seven hundred seventy-two".