2059556544 has 280 divisors, whose sum is σ = 6373002240. Its totient is φ = 657206784.

The previous prime is 2059556533. The next prime is 2059556557. The reversal of 2059556544 is 4456559502.

2059556544 is a `hidden beast` number, since 2 + 0 + 59 + 5 + 56 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2059556544.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19248139 + ... + 19248245.

Almost surely, 2^2059556544 is an apocalyptic number.

2059556544 is a gapful number since it is divisible by the number (24) 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 2059556544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186501120).

2059556544 is an abundant number, since it is smaller than the sum of its proper divisors (4313445696).

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

2059556544 is a wasteful number, since it uses less digits than its factorization.

2059556544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The square root of 2059556544 is about 45382.3373571701. The cubic root of 2059556544 is about 1272.3050176325.

The spelling of 2059556544 in words is "two billion, fifty-nine million, five hundred fifty-six thousand, five hundred forty-four".