2040880504896 has 280 divisors, whose sum is σ = 6278690658240. Its totient is φ = 654708096000.

The previous prime is 2040880504841. The next prime is 2040880504921. The reversal of 2040880504896 is 6984050880402.

2040880504896 is a `hidden beast` number, since 2 + 0 + 40 + 8 + 8 + 0 + 504 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46732671 + ... + 46776321.

It is an arithmetic number, because the mean of its divisors is an integer number (22423895208).

Almost surely, 2^{2040880504896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040880504896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139345329120).

2040880504896 is an abundant number, since it is smaller than the sum of its proper divisors (4237810153344).

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

2040880504896 is a wasteful number, since it uses less digits than its factorization.

2040880504896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44015 (or 43996 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 2040880504896 in words is "two trillion, forty billion, eight hundred eighty million, five hundred four thousand, eight hundred ninety-six".