2134431000200 has 96 divisors (see below), whose sum is σ = 5014126575360. Its totient is φ = 844907616000.

The previous prime is 2134431000139. The next prime is 2134431000203. The reversal of 2134431000200 is 20001344312.

It is a super-2 number, since 2×2134431000200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2134431000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43263947 + ... + 43313253.

It is an arithmetic number, because the mean of its divisors is an integer number (52230485160).

Almost surely, 2^{2134431000200} is an apocalyptic number.

2134431000200 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 2134431000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507063287680).

2134431000200 is an abundant number, since it is smaller than the sum of its proper divisors (2879695575160).

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

2134431000200 is a wasteful number, since it uses less digits than its factorization.

2134431000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51567 (or 51558 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2134431000200 its reverse (20001344312), we get a palindrome (2154432344512).

The spelling of 2134431000200 in words is "two trillion, one hundred thirty-four billion, four hundred thirty-one million, two hundred", and thus it is an aban number.