2979642456 has 256 divisors, whose sum is σ = 10085990400. Its totient is φ = 796549248.

The previous prime is 2979642427. The next prime is 2979642461. The reversal of 2979642456 is 6542469792.

2979642456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1633561 + ... + 1635383.

It is an arithmetic number, because the mean of its divisors is an integer number (39398400).

Almost surely, 2^2979642456 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 2979642456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042995200).

2979642456 is an abundant number, since it is smaller than the sum of its proper divisors (7106347944).

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

2979642456 is a wasteful number, since it uses less digits than its factorization.

2979642456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1905 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 2979642456 is about 54586.1013079337. The cubic root of 2979642456 is about 1438.9798677611.

The spelling of 2979642456 in words is "two billion, nine hundred seventy-nine million, six hundred forty-two thousand, four hundred fifty-six".