2288080 has 40 divisors (see below), whose sum is σ = 5470632. Its totient is φ = 889344.

The previous prime is 2288059. The next prime is 2288089. The reversal of 2288080 is 808822.

2288080 = T₁₄₅ + T₁₄₆ + ... + T₂₅₅.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 2108304 = 424^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288089) 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, 2574 + ... + 3346.

2^2288080 is an apocalyptic number.

2288080 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 2288080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735316).

2288080 is an abundant number, since it is smaller than the sum of its proper divisors (3182552).

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

2288080 is a wasteful number, since it uses less digits than its factorization.

2288080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 2288080 is about 1512.6400761582. The cubic root of 2288080 is about 131.7721812611.

It can be divided in two parts, 228 and 8080, that multiplied together give a triangular number (1842240 = T₁₉₁₉).

The spelling of 2288080 in words is "two million, two hundred eighty-eight thousand, eighty".