2412024120 has 192 divisors, whose sum is σ = 8680314240. Its totient is φ = 575942400.

The previous prime is 2412024091. The next prime is 2412024133. The reversal of 2412024120 is 214202142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2412024093 and 2412024102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260775 + ... + 269865.

It is an arithmetic number, because the mean of its divisors is an integer number (45209970).

Almost surely, 2^2412024120 is an apocalyptic number.

2412024120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2412024120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340157120).

2412024120 is an abundant number, since it is smaller than the sum of its proper divisors (6268290120).

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

2412024120 is a wasteful number, since it uses less digits than its factorization.

2412024120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9186 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2412024120 is about 49112.3621912040. The cubic root of 2412024120 is about 1341.0981048530.

Adding to 2412024120 its reverse (214202142), we get a palindrome (2626226262).

The spelling of 2412024120 in words is "two billion, four hundred twelve million, twenty-four thousand, one hundred twenty".