2006429300 has 72 divisors (see below), whose sum is σ = 4481718360. Its totient is φ = 779212800.

The previous prime is 2006429273. The next prime is 2006429323. The reversal of 2006429300 is 39246002.

It can be written as a sum of positive squares in 12 ways, for example, as 1116361744 + 890067556 = 33412^2 + 29834^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2006429300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937832 + ... + 939968.

Almost surely, 2^2006429300 is an apocalyptic number.

2006429300 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 2006429300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240859180).

2006429300 is an abundant number, since it is smaller than the sum of its proper divisors (2475289060).

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

2006429300 is a wasteful number, since it uses less digits than its factorization.

2006429300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 2006429300 is about 44793.1836332271. The cubic root of 2006429300 is about 1261.2696742082.

The spelling of 2006429300 in words is "two billion, six million, four hundred twenty-nine thousand, three hundred".