2142334200 has 96 divisors (see below), whose sum is σ = 6766642800. Its totient is φ = 560501760.

The previous prime is 2142334199. The next prime is 2142334217. The reversal of 2142334200 is 24332412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1885 + ... + 65484.

Almost surely, 2^2142334200 is an apocalyptic number.

2142334200 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 2142334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383321400).

2142334200 is an abundant number, since it is smaller than the sum of its proper divisors (4624308600).

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

2142334200 is a wasteful number, since it uses less digits than its factorization.

2142334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67441 (or 67432 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2142334200 is about 46285.3562155462. The cubic root of 2142334200 is about 1289.1271061320.

Adding to 2142334200 its reverse (24332412), we get a palindrome (2166666612).

The spelling of 2142334200 in words is "two billion, one hundred forty-two million, three hundred thirty-four thousand, two hundred".