2134242400420 has 24 divisors (see below), whose sum is σ = 4826671275384. Its totient is φ = 788027963136.

The previous prime is 2134242400403. The next prime is 2134242400441. The reversal of 2134242400420 is 240042424312.

It can be written as a sum of positive squares in 4 ways, for example, as 46905163776 + 2087337236644 = 216576^2 + 1444762^2 .

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 7 ways as a sum of consecutive naturals, for example, 4104312049 + ... + 4104312568.

It is an arithmetic number, because the mean of its divisors is an integer number (201111303141).

Almost surely, 2^{2134242400420} is an apocalyptic number.

2134242400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134242400420 is an abundant number, since it is smaller than the sum of its proper divisors (2692428874964).

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

2134242400420 is a wasteful number, since it uses less digits than its factorization.

2134242400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8208624639 (or 8208624637 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2134242400420 its reverse (240042424312), we get a palindrome (2374284824732).

The spelling of 2134242400420 in words is "two trillion, one hundred thirty-four billion, two hundred forty-two million, four hundred thousand, four hundred twenty".