2142588 has 48 divisors (see below), whose sum is σ = 5967360. Its totient is φ = 585024.

The previous prime is 2142587. The next prime is 2142601. The reversal of 2142588 is 8852412.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142583) 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, 1378 + ... + 2486.

It is an arithmetic number, because the mean of its divisors is an integer number (124320).

2^2142588 is an apocalyptic number.

2142588 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 2142588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2983680).

2142588 is an abundant number, since it is smaller than the sum of its proper divisors (3824772).

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

2142588 is a wasteful number, since it uses less digits than its factorization.

2142588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1144 counting only the distinct ones).

The product of its digits is 5120, while the sum is 30.

The square root of 2142588 is about 1463.7581767492. The cubic root of 2142588 is about 128.9178011283.

The spelling of 2142588 in words is "two million, one hundred forty-two thousand, five hundred eighty-eight".