2258784 has 144 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 633600.

The previous prime is 2258783. The next prime is 2258791. The reversal of 2258784 is 4878522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

Its product of digits (35840) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2258783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72849 + ... + 72879.

It is an arithmetic number, because the mean of its divisors is an integer number (52416).

2^2258784 is an apocalyptic number.

2258784 is a gapful number since it is divisible by the number (24) 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 2258784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952).

2258784 is an abundant number, since it is smaller than the sum of its proper divisors (5289120).

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

2258784 is a wasteful number, since it uses less digits than its factorization.

2258784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

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

The square root of 2258784 is about 1502.9251478367. The cubic root of 2258784 is about 131.2073711901.

It can be divided in two parts, 225 and 8784, that added together give a palindrome (9009).

The spelling of 2258784 in words is "two million, two hundred fifty-eight thousand, seven hundred eighty-four".