2134242402300 has 144 divisors (see below), whose sum is σ = 6866553012480. Its totient is φ = 568686790080.

The previous prime is 2134242402287. The next prime is 2134242402311. The reversal of 2134242402300 is 32042424312.

2134242402300 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 2 + 424 + 0 + 230 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3156049 + ... + 3772151.

It is an arithmetic number, because the mean of its divisors is an integer number (47684395920).

Almost surely, 2^{2134242402300} is an apocalyptic number.

2134242402300 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 2134242402300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433276506240).

2134242402300 is an abundant number, since it is smaller than the sum of its proper divisors (4732310610180).

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

2134242402300 is a wasteful number, since it uses less digits than its factorization.

2134242402300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617409 (or 617396 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2134242402300 its reverse (32042424312), we get a palindrome (2166284826612).

The spelling of 2134242402300 in words is "two trillion, one hundred thirty-four billion, two hundred forty-two million, four hundred two thousand, three hundred".