2122416510 has 64 divisors (see below), whose sum is σ = 5414755392. Its totient is φ = 530579456.

The previous prime is 2122416509. The next prime is 2122416529. The reversal of 2122416510 is 156142212.

2122416510 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122974 + ... + 139166.

It is an arithmetic number, because the mean of its divisors is an integer number (84605553).

Almost surely, 2^2122416510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122416510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707377696).

2122416510 is an abundant number, since it is smaller than the sum of its proper divisors (3292338882).

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

2122416510 is a wasteful number, since it uses less digits than its factorization.

2122416510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16477.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2122416510 is about 46069.6918808885. The cubic root of 2122416510 is about 1285.1195738275.

Adding to 2122416510 its reverse (156142212), we get a palindrome (2278558722).

The spelling of 2122416510 in words is "two billion, one hundred twenty-two million, four hundred sixteen thousand, five hundred ten".