2951879112 has 320 divisors, whose sum is σ = 10289220480. Its totient is φ = 769886208.

The previous prime is 2951879069. The next prime is 2951879113. The reversal of 2951879112 is 2119781592.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2951879113) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 6663163 + ... + 6663605.

It is an arithmetic number, because the mean of its divisors is an integer number (32153814).

Almost surely, 2^2951879112 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 2951879112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144610240).

2951879112 is an abundant number, since it is smaller than the sum of its proper divisors (7337341368).

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

2951879112 is a wasteful number, since it uses less digits than its factorization.

2951879112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 581 counting only the distinct ones).

The product of its digits is 90720, while the sum is 45.

The square root of 2951879112 is about 54331.1983302412. The cubic root of 2951879112 is about 1434.4965980215.

The spelling of 2951879112 in words is "two billion, nine hundred fifty-one million, eight hundred seventy-nine thousand, one hundred twelve".