2412241920 has 264 divisors, whose sum is σ = 9120121920. Its totient is φ = 584663040.

The previous prime is 2412241913. The next prime is 2412241921. The reversal of 2412241920 is 291422142.

2412241920 is a `hidden beast` number, since 2 + 412 + 241 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×2412241920² = 11637822161210572800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2412241921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 504501 + ... + 509259.

Almost surely, 2^2412241920 is an apocalyptic number.

2412241920 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 2412241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560060960).

2412241920 is an abundant number, since it is smaller than the sum of its proper divisors (6707880000).

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

2412241920 is a wasteful number, since it uses less digits than its factorization.

2412241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2412241920 is about 49114.5795054788. The cubic root of 2412241920 is about 1341.1384696202.

The spelling of 2412241920 in words is "two billion, four hundred twelve million, two hundred forty-one thousand, nine hundred twenty".