2134242421400 has 48 divisors (see below), whose sum is σ = 4963050759600. Its totient is φ = 853535742080.

The previous prime is 2134242421393. The next prime is 2134242421403. The reversal of 2134242421400 is 41242424312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134242421403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56789 + ... + 2066811.

It is an arithmetic number, because the mean of its divisors is an integer number (103396890825).

Almost surely, 2^{2134242421400} is an apocalyptic number.

2134242421400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134242421400 is an abundant number, since it is smaller than the sum of its proper divisors (2828808338200).

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

2134242421400 is a wasteful number, since it uses less digits than its factorization.

2134242421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015348 (or 2015339 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 2134242421400 its reverse (41242424312), we get a palindrome (2175484845712).

The spelling of 2134242421400 in words is "two trillion, one hundred thirty-four billion, two hundred forty-two million, four hundred twenty-one thousand, four hundred".