2059011456 has 128 divisors (see below), whose sum is σ = 5785929600. Its totient is φ = 646963200.

The previous prime is 2059011439. The next prime is 2059011463. The reversal of 2059011456 is 6541109502.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1757751 + ... + 1758921.

It is an arithmetic number, because the mean of its divisors is an integer number (45202575).

Almost surely, 2^2059011456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2059011456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892964800).

2059011456 is an abundant number, since it is smaller than the sum of its proper divisors (3726918144).

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

2059011456 is a wasteful number, since it uses less digits than its factorization.

2059011456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 2059011456 is about 45376.3314515398. The cubic root of 2059011456 is about 1272.1927637930.

The spelling of 2059011456 in words is "two billion, fifty-nine million, eleven thousand, four hundred fifty-six".