2286240 has 96 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 552960.

The previous prime is 2286239. The next prime is 2286257. The reversal of 2286240 is 426822.

2286240 = T₂₉₆ + T₂₉₇ + ... + T₃₄₀.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2286240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5064 + ... + 5496.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

2^2286240 is an apocalyptic number.

2286240 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 2286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2286240 is an abundant number, since it is smaller than the sum of its proper divisors (5588256).

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

2286240 is a wasteful number, since it uses less digits than its factorization.

2286240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2286240 is about 1512.0317456985. The cubic root of 2286240 is about 131.7368494784.

The spelling of 2286240 in words is "two million, two hundred eighty-six thousand, two hundred forty".