2410000164 has 108 divisors (see below), whose sum is σ = 7196494032. Its totient is φ = 674107200.

The previous prime is 2410000163. The next prime is 2410000169. The reversal of 2410000164 is 4610000142.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2410000163) 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 35 ways as a sum of consecutive naturals, for example, 48919 + ... + 84929.

It is an arithmetic number, because the mean of its divisors is an integer number (66634204).

Almost surely, 2^2410000164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2410000164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598247016).

2410000164 is an abundant number, since it is smaller than the sum of its proper divisors (4786493868).

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

2410000164 is a wasteful number, since it uses less digits than its factorization.

2410000164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36058 (or 36040 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2410000164 is about 49091.7525048760. The cubic root of 2410000164 is about 1340.7228898218.

The spelling of 2410000164 in words is "two billion, four hundred ten million, one hundred sixty-four", and thus it is an aban number.