2334142400 has 84 divisors (see below), whose sum is σ = 6045814680. Its totient is φ = 884505600.

The previous prime is 2334142379. The next prime is 2334142403. The reversal of 2334142400 is 42414332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334142403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7991 + ... + 68790.

Almost surely, 2^2334142400 is an apocalyptic number.

2334142400 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 2334142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3022907340).

2334142400 is an abundant number, since it is smaller than the sum of its proper divisors (3711672280).

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

2334142400 is a wasteful number, since it uses less digits than its factorization.

2334142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76822 (or 76807 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2334142400 is about 48312.9630637575. The cubic root of 2334142400 is about 1326.5056859907.

Adding to 2334142400 its reverse (42414332), we get a palindrome (2376556732).

The spelling of 2334142400 in words is "two billion, three hundred thirty-four million, one hundred forty-two thousand, four hundred".