2310022200132 has 144 divisors (see below), whose sum is σ = 6060800858112. Its totient is φ = 741241670400.

The previous prime is 2310022200131. The next prime is 2310022200193.

2310022200132 is a `hidden beast` number, since 2 + 310 + 0 + 2 + 220 + 0 + 132 = 666.

2310022200132 is nontrivially palindromic in base 10.

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 (2310022200131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212958733 + ... + 212969579.

It is an arithmetic number, because the mean of its divisors is an integer number (42088894848).

Almost surely, 2^{2310022200132} 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 2310022200132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030400429056).

2310022200132 is an abundant number, since it is smaller than the sum of its proper divisors (3750778657980).

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

2310022200132 is a wasteful number, since it uses less digits than its factorization.

2310022200132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12578 (or 12573 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 2310022200132 in words is "two trillion, three hundred ten billion, twenty-two million, two hundred thousand, one hundred thirty-two".