2342144320200 has 144 divisors (see below), whose sum is σ = 7870563522900. Its totient is φ = 624185740800.

The previous prime is 2342144320199. The next prime is 2342144320223. The reversal of 2342144320200 is 20234412432.

2342144320200 is a `hidden beast` number, since 2 + 3 + 4 + 21 + 4 + 432 + 0 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1787724095364 + 554420224836 = 1337058^2 + 744594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2516446 + ... + 3319154.

Almost surely, 2^{2342144320200} is an apocalyptic number.

2342144320200 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 2342144320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935281761450).

2342144320200 is an abundant number, since it is smaller than the sum of its proper divisors (5528419202700).

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

2342144320200 is a wasteful number, since it uses less digits than its factorization.

2342144320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804352 (or 804340 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2342144320200 its reverse (20234412432), we get a palindrome (2362378732632).

The spelling of 2342144320200 in words is "two trillion, three hundred forty-two billion, one hundred forty-four million, three hundred twenty thousand, two hundred".