2059223040 has 720 divisors, whose sum is σ = 8965051200. Its totient is φ = 445906944.

The previous prime is 2059223027. The next prime is 2059223041. The reversal of 2059223040 is 403229502.

2059223040 is a `hidden beast` number, since 2 + 0 + 592 + 2 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2059222995 and 2059223013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059223041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108380151 + ... + 108380169.

It is an arithmetic number, because the mean of its divisors is an integer number (12451460).

Almost surely, 2^2059223040 is an apocalyptic number.

2059223040 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 2059223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482525600).

2059223040 is an abundant number, since it is smaller than the sum of its proper divisors (6905828160).

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

2059223040 is an equidigital number, since it uses as much as digits as its factorization.

2059223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2059223040 is about 45378.6628273685. The cubic root of 2059223040 is about 1272.2363391396.

The spelling of 2059223040 in words is "two billion, fifty-nine million, two hundred twenty-three thousand, forty".