2893280 has 72 divisors (see below), whose sum is σ = 7470792. Its totient is φ = 1058304.

The previous prime is 2893279. The next prime is 2893283. The reversal of 2893280 is 823982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2893283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26987 + ... + 27093.

It is an arithmetic number, because the mean of its divisors is an integer number (103761).

2^2893280 is an apocalyptic number.

2893280 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 2893280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3735396).

2893280 is an abundant number, since it is smaller than the sum of its proper divisors (4577512).

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

2893280 is a wasteful number, since it uses less digits than its factorization.

2893280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2893280 is about 1700.9644323148. The cubic root of 2893280 is about 142.4940799839.

The spelling of 2893280 in words is "two million, eight hundred ninety-three thousand, two hundred eighty".