2559669552 has 80 divisors (see below), whose sum is σ = 8015141760. Its totient is φ = 775656000.

The previous prime is 2559669533. The next prime is 2559669587.

2559669552 is a `hidden beast` number, since 25 + 5 + 9 + 6 + 69 + 552 = 666.

2559669552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 264574 + ... + 274077.

It is an arithmetic number, because the mean of its divisors is an integer number (100189272).

Almost surely, 2^2559669552 is an apocalyptic number.

2559669552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2559669552 is an abundant number, since it is smaller than the sum of its proper divisors (5455472208).

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

2559669552 is a wasteful number, since it uses less digits than its factorization.

2559669552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538679 (or 538667 counting only the distinct ones).

The product of its digits is 7290000, while the sum is 54.

The square root of 2559669552 is about 50593.1769312819. The cubic root of 2559669552 is about 1367.9218945865.

The spelling of 2559669552 in words is "two billion, five hundred fifty-nine million, six hundred sixty-nine thousand, five hundred fifty-two".