2412290720 has 96 divisors (see below), whose sum is σ = 6539895936. Its totient is φ = 823680000.

The previous prime is 2412290717. The next prime is 2412290737. The reversal of 2412290720 is 270922142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276830 + ... + 285410.

It is an arithmetic number, because the mean of its divisors is an integer number (68123916).

Almost surely, 2^2412290720 is an apocalyptic number.

2412290720 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 2412290720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269947968).

2412290720 is an abundant number, since it is smaller than the sum of its proper divisors (4127605216).

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

2412290720 is a wasteful number, since it uses less digits than its factorization.

2412290720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8846 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 2412290720 is about 49115.0763004599. The cubic root of 2412290720 is about 1341.1475133670.

The spelling of 2412290720 in words is "two billion, four hundred twelve million, two hundred ninety thousand, seven hundred twenty".