2412216960 has 128 divisors (see below), whose sum is σ = 7876733760. Its totient is φ = 627548160.

The previous prime is 2412216943. The next prime is 2412216973. The reversal of 2412216960 is 696122142.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2412216960² = 11637581324223283200, which contains 22 as substring.

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, 63399 + ... + 94041.

Almost surely, 2^2412216960 is an apocalyptic number.

2412216960 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 2412216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938366880).

2412216960 is an abundant number, since it is smaller than the sum of its proper divisors (5464516800).

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

2412216960 is a wasteful number, since it uses less digits than its factorization.

2412216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30706 (or 30694 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 2412216960 is about 49114.3254051198. The cubic root of 2412216960 is about 1341.1338439189.

The spelling of 2412216960 in words is "two billion, four hundred twelve million, two hundred sixteen thousand, nine hundred sixty".