2410101216 has 144 divisors (see below), whose sum is σ = 7225506288. Its totient is φ = 790041600.

The previous prime is 2410101181. The next prime is 2410101241. The reversal of 2410101216 is 6121010142.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 471796 + ... + 476876.

It is an arithmetic number, because the mean of its divisors is an integer number (50177127).

Almost surely, 2^2410101216 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 2410101216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3612753144).

2410101216 is an abundant number, since it is smaller than the sum of its proper divisors (4815405072).

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

2410101216 is an equidigital number, since it uses as much as digits as its factorization.

2410101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 2410101216 is about 49092.7817097381. The cubic root of 2410101216 is about 1340.7416285254.

Adding to 2410101216 its reverse (6121010142), we get a palindrome (8531111358).

The spelling of 2410101216 in words is "two billion, four hundred ten million, one hundred one thousand, two hundred sixteen".