2400240 has 80 divisors (see below), whose sum is σ = 7597728. Its totient is φ = 626688.

The previous prime is 2400221. The next prime is 2400253. The reversal of 2400240 is 420042.

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

It is a super-2 number, since 2×2400240² = 11522304115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17452 + ... + 17588.

2^2400240 is an apocalyptic number.

2400240 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 2400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798864).

2400240 is an abundant number, since it is smaller than the sum of its proper divisors (5197488).

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

2400240 is a wasteful number, since it uses less digits than its factorization.

2400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2400240 is about 1549.2707962135. The cubic root of 2400240 is about 133.8910527540.

Adding to 2400240 its reverse (420042), we get a palindrome (2820282).

It can be divided in two parts, 24002 and 40, that added together give a palindrome (24042).

The spelling of 2400240 in words is "two million, four hundred thousand, two hundred forty".