2142034300 has 72 divisors (see below), whose sum is σ = 5319659520. Its totient is φ = 733387200.

The previous prime is 2142034267. The next prime is 2142034333. The reversal of 2142034300 is 34302412.

It is an interprime number because it is at equal distance from previous prime (2142034267) and next prime (2142034333).

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, 636021 + ... + 639379.

It is an arithmetic number, because the mean of its divisors is an integer number (73884160).

Almost surely, 2^2142034300 is an apocalyptic number.

2142034300 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 2142034300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659829760).

2142034300 is an abundant number, since it is smaller than the sum of its proper divisors (3177625220).

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

2142034300 is a wasteful number, since it uses less digits than its factorization.

2142034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2142034300 is about 46282.1164166031. The cubic root of 2142034300 is about 1289.0669494331.

Adding to 2142034300 its reverse (34302412), we get a palindrome (2176336712).

The spelling of 2142034300 in words is "two billion, one hundred forty-two million, thirty-four thousand, three hundred".