2929966116 has 288 divisors, whose sum is σ = 9403785216. Its totient is φ = 691891200.

The previous prime is 2929966103. The next prime is 2929966177. The reversal of 2929966116 is 6116699292.

2929966116 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 (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5356155 + ... + 5356701.

It is an arithmetic number, because the mean of its divisors is an integer number (32652032).

Almost surely, 2^2929966116 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 2929966116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701892608).

2929966116 is an abundant number, since it is smaller than the sum of its proper divisors (6473819100).

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

2929966116 is a wasteful number, since it uses less digits than its factorization.

2929966116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 618 counting only the distinct ones).

The product of its digits is 629856, while the sum is 51.

The square root of 2929966116 is about 54129.1614197006. The cubic root of 2929966116 is about 1430.9381614983.

The spelling of 2929966116 in words is "two billion, nine hundred twenty-nine million, nine hundred sixty-six thousand, one hundred sixteen".