2142322400 has 36 divisors (see below), whose sum is σ = 5229946512. Its totient is φ = 856928640.

The previous prime is 2142322367. The next prime is 2142322433. The reversal of 2142322400 is 42232412.

It is an interprime number because it is at equal distance from previous prime (2142322367) and next prime (2142322433).

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 (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1338152 + ... + 1339751.

It is an arithmetic number, because the mean of its divisors is an integer number (145276292).

Almost surely, 2^2142322400 is an apocalyptic number.

2142322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142322400 is an abundant number, since it is smaller than the sum of its proper divisors (3087624112).

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

2142322400 is a wasteful number, since it uses less digits than its factorization.

2142322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677923 (or 2677910 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2142322400 is about 46285.2287452487. The cubic root of 2142322400 is about 1289.1247392857.

Adding to 2142322400 its reverse (42232412), we get a palindrome (2184554812).

The spelling of 2142322400 in words is "two billion, one hundred forty-two million, three hundred twenty-two thousand, four hundred".