2957362772 has 144 divisors (see below), whose sum is σ = 6869439360. Its totient is φ = 1086898176.

The previous prime is 2957362729. The next prime is 2957362799. The reversal of 2957362772 is 2772637592.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2957362772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7802879 + ... + 7803257.

It is an arithmetic number, because the mean of its divisors is an integer number (47704440).

Almost surely, 2^2957362772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2957362772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434719680).

2957362772 is an abundant number, since it is smaller than the sum of its proper divisors (3912076588).

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

2957362772 is a wasteful number, since it uses less digits than its factorization.

2957362772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 515 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 50.

The square root of 2957362772 is about 54381.6400267590. The cubic root of 2957362772 is about 1435.3843292268.

The spelling of 2957362772 in words is "two billion, nine hundred fifty-seven million, three hundred sixty-two thousand, seven hundred seventy-two".