2059006752 has 144 divisors (see below), whose sum is σ = 6508651968. Its totient is φ = 612119040.

The previous prime is 2059006727. The next prime is 2059006753. The reversal of 2059006752 is 2576009502.

2059006752 is a `hidden beast` number, since 2 + 0 + 590 + 0 + 67 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (2059006753) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 161773 + ... + 174035.

It is an arithmetic number, because the mean of its divisors is an integer number (45198972).

Almost surely, 2^2059006752 is an apocalyptic number.

2059006752 is a gapful number since it is divisible by the number (22) 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 2059006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254325984).

2059006752 is an abundant number, since it is smaller than the sum of its proper divisors (4449645216).

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

2059006752 is a wasteful number, since it uses less digits than its factorization.

2059006752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12343 (or 12332 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2059006752 is about 45376.2796183204. The cubic root of 2059006752 is about 1272.1917949786.

The spelling of 2059006752 in words is "two billion, fifty-nine million, six thousand, seven hundred fifty-two".