2400080 has 40 divisors (see below), whose sum is σ = 5877600. Its totient is φ = 908928.

The previous prime is 2400067. The next prime is 2400089. The reversal of 2400080 is 800042.

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 (2400089) 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, 731 + ... + 2309.

It is an arithmetic number, because the mean of its divisors is an integer number (146940).

2^2400080 is an apocalyptic number.

2400080 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 2400080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938800).

2400080 is an abundant number, since it is smaller than the sum of its proper divisors (3477520).

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

2400080 is a wasteful number, since it uses less digits than its factorization.

2400080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1605 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2400080 is about 1549.2191581568. The cubic root of 2400080 is about 133.8880776287. Note that the first 3 decimals are identical.

The spelling of 2400080 in words is "two million, four hundred thousand, eighty".