2142341300 has 108 divisors (see below), whose sum is σ = 5163463788. Its totient is φ = 770880000.

The previous prime is 2142341261. The next prime is 2142341317. The reversal of 2142341300 is 31432412.

It can be written as a sum of positive squares in 6 ways, for example, as 52388644 + 2089952656 = 7238^2 + 45716^2 .

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1221224 + ... + 1222976.

Almost surely, 2^2142341300 is an apocalyptic number.

2142341300 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 2142341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581731894).

2142341300 is an abundant number, since it is smaller than the sum of its proper divisors (3021122488).

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

2142341300 is a wasteful number, since it uses less digits than its factorization.

2142341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1872 counting only the distinct ones).

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

The square root of 2142341300 is about 46285.4329136068. The cubic root of 2142341300 is about 1289.1285302473.

Adding to 2142341300 its reverse (31432412), we get a palindrome (2173773712).

The spelling of 2142341300 in words is "two billion, one hundred forty-two million, three hundred forty-one thousand, three hundred".