2258016 has 48 divisors (see below), whose sum is σ = 6076224. Its totient is φ = 733824.

The previous prime is 2257987. The next prime is 2258023. The reversal of 2258016 is 6108522.

2258016 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3855 + ... + 4401.

It is an arithmetic number, because the mean of its divisors is an integer number (126588).

2^2258016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2258016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038112).

2258016 is an abundant number, since it is smaller than the sum of its proper divisors (3818208).

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

2258016 is a wasteful number, since it uses less digits than its factorization.

2258016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2258016 is about 1502.6696243686. The cubic root of 2258016 is about 131.1924990754.

The spelling of 2258016 in words is "two million, two hundred fifty-eight thousand, sixteen".