2030042144300 has 72 divisors (see below), whose sum is σ = 4532377815504. Its totient is φ = 788651216640.

The previous prime is 2030042144293. The next prime is 2030042144329. The reversal of 2030042144300 is 34412400302.

It is a super-2 number, since 2×2030042144300² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1568387 + ... + 2553413.

It is an arithmetic number, because the mean of its divisors is an integer number (62949691882).

Almost surely, 2^{2030042144300} is an apocalyptic number.

2030042144300 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 2030042144300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266188907752).

2030042144300 is an abundant number, since it is smaller than the sum of its proper divisors (2502335671204).

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

2030042144300 is a wasteful number, since it uses less digits than its factorization.

2030042144300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985635 (or 985628 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 2030042144300 its reverse (34412400302), we get a palindrome (2064454544602).

The spelling of 2030042144300 in words is "two trillion, thirty billion, forty-two million, one hundred forty-four thousand, three hundred".