2059979040 has 576 divisors, whose sum is σ = 8639205120. Its totient is φ = 454616064.

The previous prime is 2059979021. The next prime is 2059979099. The reversal of 2059979040 is 409799502.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71033746 + ... + 71033774.

It is an arithmetic number, because the mean of its divisors is an integer number (14998620).

Almost surely, 2^2059979040 is an apocalyptic number.

2059979040 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 2059979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319602560).

2059979040 is an abundant number, since it is smaller than the sum of its proper divisors (6579226080).

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

2059979040 is an frugal number, since it uses more digits than its factorization.

2059979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2059979040 is about 45386.9919690653. The cubic root of 2059979040 is about 1272.3920116069.

The spelling of 2059979040 in words is "two billion, fifty-nine million, nine hundred seventy-nine thousand, forty".