2412033120 has 576 divisors, whose sum is σ = 10089515520. Its totient is φ = 527109120.

The previous prime is 2412033073. The next prime is 2412033187. The reversal of 2412033120 is 213302142.

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 = 2412033093 and 2412033102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29060599 + ... + 29060681.

It is an arithmetic number, because the mean of its divisors is an integer number (17516520).

Almost surely, 2^2412033120 is an apocalyptic number.

2412033120 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 2412033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5044757760).

2412033120 is an abundant number, since it is smaller than the sum of its proper divisors (7677482400).

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

2412033120 is a wasteful number, since it uses less digits than its factorization.

2412033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2412033120 is about 49112.4538177436. The cubic root of 2412033120 is about 1341.0997728667.

Adding to 2412033120 its reverse (213302142), we get a palindrome (2625335262).

The spelling of 2412033120 in words is "two billion, four hundred twelve million, thirty-three thousand, one hundred twenty".