2059037568 has 384 divisors, whose sum is σ = 7126878720. Its totient is φ = 558379008.

The previous prime is 2059037551. The next prime is 2059037597. The reversal of 2059037568 is 8657309502.

It is a happy number.

2059037568 is a `hidden beast` number, since 2 + 0 + 59 + 0 + 37 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19990605 + ... + 19990707.

It is an arithmetic number, because the mean of its divisors is an integer number (18559580).

Almost surely, 2^2059037568 is an apocalyptic number.

2059037568 is a gapful number since it is divisible by the number (28) 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 2059037568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563439360).

2059037568 is an abundant number, since it is smaller than the sum of its proper divisors (5067841152).

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

2059037568 is a wasteful number, since it uses less digits than its factorization.

2059037568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 2059037568 is about 45376.6191777219. The cubic root of 2059037568 is about 1272.1981416742.

The spelling of 2059037568 in words is "two billion, fifty-nine million, thirty-seven thousand, five hundred sixty-eight".