2777777772 has 96 divisors (see below), whose sum is σ = 8093589504. Its totient is φ = 720360000.

The previous prime is 2777777759. The next prime is 2777777777.

2777777772 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2777777777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691923 + ... + 695925.

It is an arithmetic number, because the mean of its divisors is an integer number (84308224).

Almost surely, 2^2777777772 is an apocalyptic number.

2777777772 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 2777777772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4046794752).

2777777772 is an abundant number, since it is smaller than the sum of its proper divisors (5315811732).

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

2777777772 is a wasteful number, since it uses less digits than its factorization.

2777777772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779 (or 4777 counting only the distinct ones).

The product of its digits is 23059204, while the sum is 60.

The square root of 2777777772 is about 52704.6276146602. The cubic root of 2777777772 is about 1405.7211078616.

The spelling of 2777777772 in words is "two billion, seven hundred seventy-seven million, seven hundred seventy-seven thousand, seven hundred seventy-two".