2288664 has 96 divisors (see below), whose sum is σ = 7488000. Its totient is φ = 616896.

The previous prime is 2288641. The next prime is 2288677. The reversal of 2288664 is 4668822.

2288664 = T₁₁₅ + T₁₁₆ + ... + T₂₄₇.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9457 + ... + 9695.

It is an arithmetic number, because the mean of its divisors is an integer number (78000).

2^2288664 is an apocalyptic number.

2288664 is a gapful number since it is divisible by the number (24) 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 2288664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744000).

2288664 is an abundant number, since it is smaller than the sum of its proper divisors (5199336).

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

2288664 is a wasteful number, since it uses less digits than its factorization.

2288664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2288664 is about 1512.8331038155. The cubic root of 2288664 is about 131.7833913014.

The spelling of 2288664 in words is "two million, two hundred eighty-eight thousand, six hundred sixty-four".