2912879970 has 576 divisors, whose sum is σ = 10755763200. Its totient is φ = 537062400.

The previous prime is 2912879953. The next prime is 2912880017. The reversal of 2912879970 is 799782192.

2912879970 is a `hidden beast` number, since 291 + 287 + 9 + 9 + 70 = 666.

2912879970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19549456 + ... + 19549604.

It is an arithmetic number, because the mean of its divisors is an integer number (18673200).

Almost surely, 2^2912879970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2912879970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5377881600).

2912879970 is an abundant number, since it is smaller than the sum of its proper divisors (7842883230).

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

2912879970 is a wasteful number, since it uses less digits than its factorization.

2912879970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 2912879970 is about 53971.1031015672. The cubic root of 2912879970 is about 1428.1512238927.

It can be divided in two parts, 2912879 and 970, that added together give a square (2913849 = 1707²).

The spelling of 2912879970 in words is "two billion, nine hundred twelve million, eight hundred seventy-nine thousand, nine hundred seventy".