2779229772 has 96 divisors (see below), whose sum is σ = 8052307200. Its totient is φ = 821635200.

The previous prime is 2779229767. The next prime is 2779229833.

2779229772 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20179 + ... + 77237.

It is an arithmetic number, because the mean of its divisors is an integer number (83878200).

Almost surely, 2^2779229772 is an apocalyptic number.

2779229772 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 2779229772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026153600).

2779229772 is an abundant number, since it is smaller than the sum of its proper divisors (5273077428).

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

2779229772 is a wasteful number, since it uses less digits than its factorization.

2779229772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57124 (or 57116 counting only the distinct ones).

The product of its digits is 3111696, while the sum is 54.

The square root of 2779229772 is about 52718.4006965310. The cubic root of 2779229772 is about 1405.9659980432.

The spelling of 2779229772 in words is "two billion, seven hundred seventy-nine million, two hundred twenty-nine thousand, seven hundred seventy-two".