2040214134300 has 144 divisors (see below), whose sum is σ = 5933116006272. Its totient is φ = 541285113600.

The previous prime is 2040214134281. The next prime is 2040214134323. The reversal of 2040214134300 is 34314120402.

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, 303013734 + ... + 303020466.

It is an arithmetic number, because the mean of its divisors is an integer number (41202194488).

Almost surely, 2^{2040214134300} is an apocalyptic number.

2040214134300 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 2040214134300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966558003136).

2040214134300 is an abundant number, since it is smaller than the sum of its proper divisors (3892901871972).

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

2040214134300 is a wasteful number, since it uses less digits than its factorization.

2040214134300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11748 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2040214134300 its reverse (34314120402), we get a palindrome (2074528254702).

The spelling of 2040214134300 in words is "two trillion, forty billion, two hundred fourteen million, one hundred thirty-four thousand, three hundred".