2259642 has 64 divisors (see below), whose sum is σ = 5796864. Its totient is φ = 570240.

The previous prime is 2259629. The next prime is 2259643. The reversal of 2259642 is 2469522.

It is a d-powerful number, because it can be written as 2¹⁵ + 2¹⁸ + 5² + 9⁴ + 6⁸ + 4⁷ + 2¹⁸ .

It is not an unprimeable number, because it can be changed into a prime (2259643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30918 + ... + 30990.

It is an arithmetic number, because the mean of its divisors is an integer number (90576).

2^2259642 is an apocalyptic number.

2259642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2259642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898432).

2259642 is an abundant number, since it is smaller than the sum of its proper divisors (3537222).

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

2259642 is a wasteful number, since it uses less digits than its factorization.

2259642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163.

The product of its digits is 8640, while the sum is 30.

The square root of 2259642 is about 1503.2105640927. The cubic root of 2259642 is about 131.2239821444.

The spelling of 2259642 in words is "two million, two hundred fifty-nine thousand, six hundred forty-two".