2233302010002 has 144 divisors (see below), whose sum is σ = 5736949949952. Its totient is φ = 615050634240.

The previous prime is 2233302009997. The next prime is 2233302010003. The reversal of 2233302010002 is 2000102033322.

It is a happy number.

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 (2233302010003) 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 71 ways as a sum of consecutive naturals, for example, 64304002 + ... + 64338722.

It is an arithmetic number, because the mean of its divisors is an integer number (39839930208).

Almost surely, 2^{2233302010002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2233302010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868474974976).

2233302010002 is an abundant number, since it is smaller than the sum of its proper divisors (3503647939950).

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

2233302010002 is a wasteful number, since it uses less digits than its factorization.

2233302010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35401 (or 35369 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2233302010002 its reverse (2000102033322), we get a palindrome (4233404043324).

The spelling of 2233302010002 in words is "two trillion, two hundred thirty-three billion, three hundred two million, ten thousand, two".