2142120410430 has 320 divisors, whose sum is σ = 7046142179328. Its totient is φ = 410874266880.

The previous prime is 2142120410413. The next prime is 2142120410461. The reversal of 2142120410430 is 340140212412.

It is a self number, because there is not a number n which added to its sum of digits gives 2142120410430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10196307 + ... + 10404273.

Almost surely, 2^{2142120410430} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142120410430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523071089664).

2142120410430 is an abundant number, since it is smaller than the sum of its proper divisors (4904021768898).

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

2142120410430 is a wasteful number, since it uses less digits than its factorization.

2142120410430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208029 (or 208008 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2142120410430 its reverse (340140212412), we get a palindrome (2482260622842).

The spelling of 2142120410430 in words is "two trillion, one hundred forty-two billion, one hundred twenty million, four hundred ten thousand, four hundred thirty".