2040487680 has 576 divisors, whose sum is σ = 8326176768. Its totient is φ = 413614080.

The previous prime is 2040487661. The next prime is 2040487697. The reversal of 2040487680 is 867840402.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 19810509 + ... + 19810611.

It is an arithmetic number, because the mean of its divisors is an integer number (14455168).

Almost surely, 2^2040487680 is an apocalyptic number.

2040487680 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 2040487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163088384).

2040487680 is an abundant number, since it is smaller than the sum of its proper divisors (6285689088).

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

2040487680 is a wasteful number, since it uses less digits than its factorization.

2040487680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2040487680 is about 45171.7575482735. The cubic root of 2040487680 is about 1268.3661963489.

The spelling of 2040487680 in words is "two billion, forty million, four hundred eighty-seven thousand, six hundred eighty".