2029213296 has 240 divisors, whose sum is σ = 6805064448. Its totient is φ = 578534400.

The previous prime is 2029213271. The next prime is 2029213309. The reversal of 2029213296 is 6923129202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2029213296.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 725661 + ... + 728451.

Almost surely, 2^2029213296 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 2029213296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402532224).

2029213296 is an abundant number, since it is smaller than the sum of its proper divisors (4775851152).

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

2029213296 is a wasteful number, since it uses less digits than its factorization.

2029213296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2029213296 is about 45046.7900743216. The cubic root of 2029213296 is about 1266.0258299799.

The spelling of 2029213296 in words is "two billion, twenty-nine million, two hundred thirteen thousand, two hundred ninety-six".