2588472 has 24 divisors (see below), whose sum is σ = 7010640. Its totient is φ = 862800.

The previous prime is 2588461. The next prime is 2588473. The reversal of 2588472 is 2748852.

It is a happy number.

2588472 is a `hidden beast` number, since 2 + 588 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a d-powerful number, because it can be written as 2¹⁰ + 5⁸ + 8⁵ + 8⁷ + 4⁵ + 7³ + 2¹⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2588473) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17904 + ... + 18047.

It is an arithmetic number, because the mean of its divisors is an integer number (292110).

2^2588472 is an apocalyptic number.

It is an amenable number.

2588472 is an abundant number, since it is smaller than the sum of its proper divisors (4422168).

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

2588472 is a wasteful number, since it uses less digits than its factorization.

2588472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35963 (or 35956 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 2588472 is about 1608.8728974036. The cubic root of 2588472 is about 137.3033574777.

The spelling of 2588472 in words is "two million, five hundred eighty-eight thousand, four hundred seventy-two".