2334404000 has 96 divisors (see below), whose sum is σ = 5891021136. Its totient is φ = 908467200.

The previous prime is 2334403999. The next prime is 2334404047. The reversal of 2334404000 is 4044332.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 442849936 + 1891554064 = 21044^2 + 43492^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140114 + ... + 155886.

Almost surely, 2^2334404000 is an apocalyptic number.

2334404000 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 2334404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945510568).

2334404000 is an abundant number, since it is smaller than the sum of its proper divisors (3556617136).

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

2334404000 is a wasteful number, since it uses less digits than its factorization.

2334404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15835 (or 15817 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2334404000 is about 48315.6703358238. The cubic root of 2334404000 is about 1326.5552403687. Note that the first 3 decimals are identical.

Adding to 2334404000 its reverse (4044332), we get a palindrome (2338448332).

The spelling of 2334404000 in words is "two billion, three hundred thirty-four million, four hundred four thousand".