2059551360 has 768 divisors, whose sum is σ = 8420630400. Its totient is φ = 477757440.

The previous prime is 2059551359. The next prime is 2059551383. The reversal of 2059551360 is 631559502.

2059551360 is a `hidden beast` number, since 2 + 0 + 595 + 5 + 1 + 3 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50232940 + ... + 50232980.

Almost surely, 2^2059551360 is an apocalyptic number.

2059551360 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 2059551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4210315200).

2059551360 is an abundant number, since it is smaller than the sum of its proper divisors (6361079040).

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

2059551360 is a wasteful number, since it uses less digits than its factorization.

2059551360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 2059551360 is about 45382.2802424030. The cubic root of 2059551360 is about 1272.3039501479.

The spelling of 2059551360 in words is "two billion, fifty-nine million, five hundred fifty-one thousand, three hundred sixty".