2112164910 has 160 divisors (see below), whose sum is σ = 5828850720. Its totient is φ = 548646912.

The previous prime is 2112164893. The next prime is 2112164927. The reversal of 2112164910 is 194612112.

2112164910 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 1 + 649 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (2112164893) and next prime (2112164927).

It is a super-2 number, since 2×2112164910² = 8922481214070616200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 5983294 + ... + 5983646.

It is an arithmetic number, because the mean of its divisors is an integer number (36430317).

Almost surely, 2^2112164910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112164910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914425360).

2112164910 is an abundant number, since it is smaller than the sum of its proper divisors (3716685810).

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

2112164910 is a wasteful number, since it uses less digits than its factorization.

2112164910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2112164910 is about 45958.2953339220. The cubic root of 2112164910 is about 1283.0471247205.

The spelling of 2112164910 in words is "two billion, one hundred twelve million, one hundred sixty-four thousand, nine hundred ten".