2278816 has 48 divisors (see below), whose sum is σ = 4898880. Its totient is φ = 1039360.

The previous prime is 2278813. The next prime is 2278823. The reversal of 2278816 is 6188722.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2278811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32061 + ... + 32131.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

2^2278816 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 2278816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449440).

2278816 is an abundant number, since it is smaller than the sum of its proper divisors (2620064).

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

2278816 is a wasteful number, since it uses less digits than its factorization.

2278816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 10752, while the sum is 34.

The square root of 2278816 is about 1509.5747745640. The cubic root of 2278816 is about 131.5941005538.

The spelling of 2278816 in words is "two million, two hundred seventy-eight thousand, eight hundred sixteen".