2334084900 has 144 divisors (see below), whose sum is σ = 7906577280. Its totient is φ = 520473600.

The previous prime is 2334084889. The next prime is 2334084911. The reversal of 2334084900 is 94804332.

2334084900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2334084889) and next prime (2334084911).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72546 + ... + 99654.

Almost surely, 2^2334084900 is an apocalyptic number.

2334084900 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 2334084900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3953288640).

2334084900 is an abundant number, since it is smaller than the sum of its proper divisors (5572492380).

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

2334084900 is a wasteful number, since it uses less digits than its factorization.

2334084900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27174 (or 27167 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2334084900 is about 48312.3679817084. The cubic root of 2334084900 is about 1326.4947933815.

The spelling of 2334084900 in words is "two billion, three hundred thirty-four million, eighty-four thousand, nine hundred".