2278560 has 96 divisors (see below), whose sum is σ = 7402752. Its totient is φ = 588800.

The previous prime is 2278553. The next prime is 2278631. The reversal of 2278560 is 658722.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22510 + ... + 22610.

It is an arithmetic number, because the mean of its divisors is an integer number (77112).

2^2278560 is an apocalyptic number.

2278560 is a gapful number since it is divisible by the number (20) 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 2278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376).

2278560 is an abundant number, since it is smaller than the sum of its proper divisors (5124192).

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

2278560 is a wasteful number, since it uses less digits than its factorization.

2278560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2278560 is about 1509.4899800926. The cubic root of 2278560 is about 131.5891726510.

The spelling of 2278560 in words is "two million, two hundred seventy-eight thousand, five hundred sixty".