2400000240 has 80 divisors (see below), whose sum is σ = 8116373376. Its totient is φ = 581817600.

The previous prime is 2400000221. The next prime is 2400000247. The reversal of 2400000240 is 420000042.

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 (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 not an unprimeable number, because it can be changed into a prime (2400000247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451906 + ... + 457185.

Almost surely, 2^2400000240 is an apocalyptic number.

2400000240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400000240 is an abundant number, since it is smaller than the sum of its proper divisors (5716373136).

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

2400000240 is a wasteful number, since it uses less digits than its factorization.

2400000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909118 (or 909112 counting only the distinct ones).

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

The square root of 2400000240 is about 48989.7973051532. The cubic root of 2400000240 is about 1338.8659447932.

Adding to 2400000240 its reverse (420000042), we get a palindrome (2820000282).

It can be divided in two parts, 24000002 and 40, that added together give a palindrome (24000042).

The spelling of 2400000240 in words is "two billion, four hundred million, two hundred forty", and thus it is an aban number.