2334121400 has 96 divisors (see below), whose sum is σ = 5856656400. Its totient is φ = 860006400.

The previous prime is 2334121393. The next prime is 2334121453. The reversal of 2334121400 is 41214332.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2290091 + ... + 2291109.

Almost surely, 2^2334121400 is an apocalyptic number.

2334121400 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 2334121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928328200).

2334121400 is an abundant number, since it is smaller than the sum of its proper divisors (3522535000).

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

2334121400 is a wasteful number, since it uses less digits than its factorization.

2334121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2334121400 is about 48312.7457302936. The cubic root of 2334121400 is about 1326.5017078412.

Adding to 2334121400 its reverse (41214332), we get a palindrome (2375335732).

The spelling of 2334121400 in words is "two billion, three hundred thirty-four million, one hundred twenty-one thousand, four hundred".