2416042120 has 32 divisors (see below), whose sum is σ = 5437517400. Its totient is φ = 966163968.

The previous prime is 2416042099. The next prime is 2416042127. The reversal of 2416042120 is 212406142.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1933712676 + 482329444 = 43974^2 + 21962^2 .

It is a super-2 number, since 2×2416042120² = 11674519051228188800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2416042091 and 2416042100.

It is not an unprimeable number, because it can be changed into a prime (2416042127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254092 + ... + 263428.

Almost surely, 2^2416042120 is an apocalyptic number.

2416042120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2416042120 is an abundant number, since it is smaller than the sum of its proper divisors (3021475280).

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

2416042120 is a wasteful number, since it uses less digits than its factorization.

2416042120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15817 (or 15813 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2416042120 is about 49153.2513675342. The cubic root of 2416042120 is about 1341.8423681182.

Adding to 2416042120 its reverse (212406142), we get a palindrome (2628448262).

The spelling of 2416042120 in words is "two billion, four hundred sixteen million, forty-two thousand, one hundred twenty".