2979392256 has 432 divisors, whose sum is σ = 9785936160. Its totient is φ = 867041280.

The previous prime is 2979392249. The next prime is 2979392257. The reversal of 2979392256 is 6522939792.

It is a super-3 number, since 3×2979392256³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2979392257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48842466 + ... + 48842526.

It is an arithmetic number, because the mean of its divisors is an integer number (22652630).

Almost surely, 2^2979392256 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 2979392256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892968080).

2979392256 is an abundant number, since it is smaller than the sum of its proper divisors (6806543904).

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

2979392256 is a wasteful number, since it uses less digits than its factorization.

2979392256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 2979392256 is about 54583.8094676434. The cubic root of 2979392256 is about 1438.9395896801.

The spelling of 2979392256 in words is "two billion, nine hundred seventy-nine million, three hundred ninety-two thousand, two hundred fifty-six".