2400440042 has 64 divisors (see below), whose sum is σ = 4843286784. Its totient is φ = 861719040.

The previous prime is 2400440027. The next prime is 2400440047.

2400440042 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2400440042² = 11524224790473923528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400439996 and 2400440023.

It is not an unprimeable number, because it can be changed into a prime (2400440047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2187638 + ... + 2188734.

It is an arithmetic number, because the mean of its divisors is an integer number (75676356).

Almost surely, 2^2400440042 is an apocalyptic number.

2400440042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2400440042 is an abundant number, since it is smaller than the sum of its proper divisors (2442846742).

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

2400440042 is a wasteful number, since it uses less digits than its factorization.

2400440042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223.

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

The square root of 2400440042 is about 48994.2858096738. The cubic root of 2400440042 is about 1338.9477225566.

It can be divided in two parts, 24004 and 40042, that added together give a palindrome (64046).

The spelling of 2400440042 in words is "two billion, four hundred million, four hundred forty thousand, forty-two".