2142400420 has 24 divisors (see below), whose sum is σ = 4504893624. Its totient is φ = 855845376.

The previous prime is 2142400417. The next prime is 2142400427. The reversal of 2142400420 is 240042412.

It can be written as a sum of positive squares in 4 ways, for example, as 25664356 + 2116736064 = 5066^2 + 46008^2 .

It is a super-3 number, since 3×2142400420³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2142400427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53829 + ... + 84748.

It is an arithmetic number, because the mean of its divisors is an integer number (187703901).

Almost surely, 2^2142400420 is an apocalyptic number.

2142400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142400420 is an abundant number, since it is smaller than the sum of its proper divisors (2362493204).

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

2142400420 is a wasteful number, since it uses less digits than its factorization.

2142400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139359 (or 139357 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 2142400420 is about 46286.0715550585. The cubic root of 2142400420 is about 1289.1403883917.

Adding to 2142400420 its reverse (240042412), we get a palindrome (2382442832).

The spelling of 2142400420 in words is "two billion, one hundred forty-two million, four hundred thousand, four hundred twenty".