2040340831200 has 1296 divisors, whose sum is σ = 8545845999600. Its totient is φ = 456636579840.

The previous prime is 2040340831187. The next prime is 2040340831247. The reversal of 2040340831200 is 21380430402.

2040340831200 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 340 + 8 + 312 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5846248626 + ... + 5846248974.

It is an arithmetic number, because the mean of its divisors is an integer number (6594016975).

Almost surely, 2^{2040340831200} is an apocalyptic number.

2040340831200 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 2040340831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272922999800).

2040340831200 is an abundant number, since it is smaller than the sum of its proper divisors (6505505168400).

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

2040340831200 is a wasteful number, since it uses less digits than its factorization.

2040340831200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 2040340831200 in words is "two trillion, forty billion, three hundred forty million, eight hundred thirty-one thousand, two hundred".