2800240 has 80 divisors (see below), whose sum is σ = 7231680. Its totient is φ = 1003520.

The previous prime is 2800219. The next prime is 2800241. The reversal of 2800240 is 420082.

2800240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2800241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39405 + ... + 39475.

It is an arithmetic number, because the mean of its divisors is an integer number (90396).

2^2800240 is an apocalyptic number.

2800240 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 2800240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615840).

2800240 is an abundant number, since it is smaller than the sum of its proper divisors (4431440).

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

2800240 is a wasteful number, since it uses less digits than its factorization.

2800240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2800240 is about 1673.3917652481. The cubic root of 2800240 is about 140.9500015541.

The spelling of 2800240 in words is "two million, eight hundred thousand, two hundred forty".