2059840440 has 288 divisors, whose sum is σ = 8127643680. Its totient is φ = 450261504.

The previous prime is 2059840423. The next prime is 2059840441. The reversal of 2059840440 is 440489502.

2059840440 is a `hidden beast` number, since 20 + 598 + 4 + 0 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2059840395 and 2059840404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059840441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 403182 + ... + 408258.

It is an arithmetic number, because the mean of its divisors is an integer number (28220985).

Almost surely, 2^2059840440 is an apocalyptic number.

2059840440 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 2059840440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063821840).

2059840440 is an abundant number, since it is smaller than the sum of its proper divisors (6067803240).

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

2059840440 is a wasteful number, since it uses less digits than its factorization.

2059840440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2059840440 is about 45385.4650741843. The cubic root of 2059840440 is about 1272.3634745061.

The spelling of 2059840440 in words is "two billion, fifty-nine million, eight hundred forty thousand, four hundred forty".