2429304900 has 108 divisors (see below), whose sum is σ = 7725974256. Its totient is φ = 588913600.

The previous prime is 2429304859. The next prime is 2429304949. The reversal of 2429304900 is 94039242.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2839 + ... + 69761.

Almost surely, 2^2429304900 is an apocalyptic number.

2429304900 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 2429304900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862987128).

2429304900 is an abundant number, since it is smaller than the sum of its proper divisors (5296669356).

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

2429304900 is a wasteful number, since it uses less digits than its factorization.

2429304900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66962 (or 66944 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2429304900 is about 49287.9792647254. The cubic root of 2429304900 is about 1344.2932214361.

The spelling of 2429304900 in words is "two billion, four hundred twenty-nine million, three hundred four thousand, nine hundred".