2246880 has 96 divisors (see below), whose sum is σ = 7354368. Its totient is φ = 576000.

The previous prime is 2246869. The next prime is 2246903. The reversal of 2246880 is 886422.

It is a happy number.

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 a d-powerful number, because it can be written as 2¹¹ + 2¹⁷ + 4⁷ + 6³ + 8 + 8⁷ + 0 .

It is a congruent number.

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, 14805 + ... + 14955.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

2^2246880 is an apocalyptic number.

2246880 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 2246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677184).

2246880 is an abundant number, since it is smaller than the sum of its proper divisors (5107488).

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

2246880 is a wasteful number, since it uses less digits than its factorization.

2246880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2246880 is about 1498.9596392165. The cubic root of 2246880 is about 130.9764734473.

The spelling of 2246880 in words is "two million, two hundred forty-six thousand, eight hundred eighty".