2414204040 has 64 divisors (see below), whose sum is σ = 7411060800. Its totient is φ = 628814592.

The previous prime is 2414204033. The next prime is 2414204041. The reversal of 2414204040 is 404024142.

2414204040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2414204040² = 11656762293504643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2414203998 and 2414204016.

It is not an unprimeable number, because it can be changed into a prime (2414204041) 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, 228775 + ... + 239094.

It is an arithmetic number, because the mean of its divisors is an integer number (115797825).

Almost surely, 2^2414204040 is an apocalyptic number.

2414204040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414204040 is an abundant number, since it is smaller than the sum of its proper divisors (4996856760).

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

2414204040 is a wasteful number, since it uses less digits than its factorization.

2414204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467926 (or 467922 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2414204040 is about 49134.5503693684. The cubic root of 2414204040 is about 1341.5019988656.

Adding to 2414204040 its reverse (404024142), we get a palindrome (2818228182).

The spelling of 2414204040 in words is "two billion, four hundred fourteen million, two hundred four thousand, forty".