2589888 has 112 divisors (see below), whose sum is σ = 8193024. Its totient is φ = 706560.

The previous prime is 2589887. The next prime is 2589893. The reversal of 2589888 is 8889852.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2589883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55081 + ... + 55127.

It is an arithmetic number, because the mean of its divisors is an integer number (73152).

2^2589888 is an apocalyptic number.

2589888 is a gapful number since it is divisible by the number (28) 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 2589888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096512).

2589888 is an abundant number, since it is smaller than the sum of its proper divisors (5603136).

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

2589888 is a wasteful number, since it uses less digits than its factorization.

2589888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its digits is 368640, while the sum is 48.

The square root of 2589888 is about 1609.3128968600. The cubic root of 2589888 is about 137.3283897635.

2589888 divided by its sum of digits (48) gives a triangular number (53956 = T₃₂₈).

Adding to 2589888 its product of digits (368640), we get a triangular number (2958528 = T₂₄₃₂).

The spelling of 2589888 in words is "two million, five hundred eighty-nine thousand, eight hundred eighty-eight".