2880240 has 80 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 697600.

The previous prime is 2880239. The next prime is 2880271. The reversal of 2880240 is 420882.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2880240³ = 71681533397033472000, which contains 333 as substring.

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 2880240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095 + ... + 3185.

2^2880240 is an apocalyptic number.

2880240 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 2880240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

2880240 is an abundant number, since it is smaller than the sum of its proper divisors (6869136).

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

2880240 is a wasteful number, since it uses less digits than its factorization.

2880240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2880240 is about 1697.1269840528. The cubic root of 2880240 is about 142.2796841735.

The spelling of 2880240 in words is "two million, eight hundred eighty thousand, two hundred forty".