2010023302144 has 704 divisors, whose sum is σ = 5203173991680. Its totient is φ = 761863864320.

The previous prime is 2010023302141. The next prime is 2010023302163. The reversal of 2010023302144 is 4412033200102.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010023302141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12802696114 + ... + 12802696270.

Almost surely, 2^{2010023302144} 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 2010023302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601586995840).

2010023302144 is an abundant number, since it is smaller than the sum of its proper divisors (3193150689536).

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

2010023302144 is a wasteful number, since it uses less digits than its factorization.

2010023302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2010023302144 its reverse (4412033200102), we get a palindrome (6422056502246).

The spelling of 2010023302144 in words is "two trillion, ten billion, twenty-three million, three hundred two thousand, one hundred forty-four".