2795225972 has 72 divisors (see below), whose sum is σ = 6477589440. Its totient is φ = 1041680640.

The previous prime is 2795225899. The next prime is 2795225999.

It is a happy number.

2795225972 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2795225972.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 21404 + ... + 77772.

It is an arithmetic number, because the mean of its divisors is an integer number (89966520).

Almost surely, 2^2795225972 is an apocalyptic number.

2795225972 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 2795225972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238794720).

2795225972 is an abundant number, since it is smaller than the sum of its proper divisors (3682363468).

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

2795225972 is a wasteful number, since it uses less digits than its factorization.

2795225972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56421 (or 56412 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 50.

The square root of 2795225972 is about 52869.8966520647. The cubic root of 2795225972 is about 1408.6582430624.

The spelling of 2795225972 in words is "two billion, seven hundred ninety-five million, two hundred twenty-five thousand, nine hundred seventy-two".