2442400040 has 32 divisors (see below), whose sum is σ = 5518224360. Its totient is φ = 972902400.

The previous prime is 2442400031. The next prime is 2442400091. The reversal of 2442400040 is 400042442.

It can be written as a sum of positive squares in 4 ways, for example, as 1918264804 + 524135236 = 43798^2 + 22894^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2442399985 and 2442400021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117041 + ... + 136320.

Almost surely, 2^2442400040 is an apocalyptic number.

2442400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2442400040 is an abundant number, since it is smaller than the sum of its proper divisors (3075824320).

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

2442400040 is a wasteful number, since it uses less digits than its factorization.

2442400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253613 (or 253609 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 2442400040 is about 49420.6438646847. The cubic root of 2442400040 is about 1346.7043599009.

Adding to 2442400040 its reverse (400042442), we get a palindrome (2842442482).

The spelling of 2442400040 in words is "two billion, four hundred forty-two million, four hundred thousand, forty".