2029290900 has 576 divisors, whose sum is σ = 7757836800. Its totient is φ = 406425600.

The previous prime is 2029290883. The next prime is 2029290911. The reversal of 2029290900 is 90929202.

2029290900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49494880 + ... + 49494920.

Almost surely, 2^2029290900 is an apocalyptic number.

2029290900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029290900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878918400).

2029290900 is an abundant number, since it is smaller than the sum of its proper divisors (5728545900).

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

2029290900 is a wasteful number, since it uses less digits than its factorization.

2029290900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 2029290900 is about 45047.6514371171. The cubic root of 2029290900 is about 1266.0419688150.

The spelling of 2029290900 in words is "two billion, twenty-nine million, two hundred ninety thousand, nine hundred".