2112146460 has 72 divisors (see below), whose sum is σ = 6527757600. Its totient is φ = 552609408.

The previous prime is 2112146431. The next prime is 2112146461. The reversal of 2112146460 is 646412112.

2112146460 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 14 + 646 + 0 = 666.

It is a super-2 number, since 2×2112146460² = 8922325336981063200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112146461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101160 + ... + 120239.

It is an arithmetic number, because the mean of its divisors is an integer number (90663300).

Almost surely, 2^2112146460 is an apocalyptic number.

2112146460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112146460 is an abundant number, since it is smaller than the sum of its proper divisors (4415611140).

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

2112146460 is a wasteful number, since it uses less digits than its factorization.

2112146460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221467 (or 221462 counting only the distinct ones).

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

The square root of 2112146460 is about 45958.0946080231. The cubic root of 2112146460 is about 1283.0433888556.

Adding to 2112146460 its reverse (646412112), we get a palindrome (2758558572).

The spelling of 2112146460 in words is "two billion, one hundred twelve million, one hundred forty-six thousand, four hundred sixty".