2589874560 has 896 divisors, whose sum is σ = 11612381760. Its totient is φ = 537477120.

The previous prime is 2589874523. The next prime is 2589874583. The reversal of 2589874560 is 654789852.

2589874560 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 8 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a junction number, because it is equal to n+sod(n) for n = 2589874497 and 2589874506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42456930 + ... + 42456990.

Almost surely, 2^2589874560 is an apocalyptic number.

2589874560 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 2589874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806190880).

2589874560 is an abundant number, since it is smaller than the sum of its proper divisors (9022507200).

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

2589874560 is an equidigital number, since it uses as much as digits as its factorization.

2589874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 2589874560 is about 50890.8101723681. The cubic root of 2589874560 is about 1373.2815221182.

The spelling of 2589874560 in words is "two billion, five hundred eighty-nine million, eight hundred seventy-four thousand, five hundred sixty".