2588420 has 48 divisors (see below), whose sum is σ = 6023808. Its totient is φ = 929280.

The previous prime is 2588419. The next prime is 2588441. The reversal of 2588420 is 248852.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7655 + ... + 7985.

It is an arithmetic number, because the mean of its divisors is an integer number (125496).

2^2588420 is an apocalyptic number.

2588420 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 2588420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011904).

2588420 is an abundant number, since it is smaller than the sum of its proper divisors (3435388).

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

2588420 is a wasteful number, since it uses less digits than its factorization.

2588420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 2588420 is about 1608.8567369409. The cubic root of 2588420 is about 137.3024380392.

The spelling of 2588420 in words is "two million, five hundred eighty-eight thousand, four hundred twenty".