2929969902816 has 1008 divisors, whose sum is σ = 9791997692400. Its totient is φ = 861710192640.

The previous prime is 2929969902773. The next prime is 2929969902889. The reversal of 2929969902816 is 6182099699292.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 26880457770 + ... + 26880457878.

It is an arithmetic number, because the mean of its divisors is an integer number (9714283425).

Almost surely, 2^{2929969902816} 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 2929969902816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895998846200).

2929969902816 is an abundant number, since it is smaller than the sum of its proper divisors (6862027789584).

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

2929969902816 is a wasteful number, since it uses less digits than its factorization.

2929969902816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 72.

The spelling of 2929969902816 in words is "two trillion, nine hundred twenty-nine billion, nine hundred sixty-nine million, nine hundred two thousand, eight hundred sixteen".