2010334022334 has 128 divisors (see below), whose sum is σ = 5093312348160. Its totient is φ = 581802328800.

The previous prime is 2010334022317. The next prime is 2010334022341. The reversal of 2010334022334 is 4332204330102.

2010334022334 is a `hidden beast` number, since 20 + 1 + 0 + 3 + 3 + 402 + 233 + 4 = 666.

It is a super-2 number, since 2×2010334022334² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2010334022298 and 2010334022307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8725599 + ... + 8953029.

It is an arithmetic number, because the mean of its divisors is an integer number (39791502720).

Almost surely, 2^{2010334022334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010334022334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546656174080).

2010334022334 is an abundant number, since it is smaller than the sum of its proper divisors (3082978325826).

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

2010334022334 is a wasteful number, since it uses less digits than its factorization.

2010334022334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228123 (or 228117 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 2010334022334 its reverse (4332204330102), we get a palindrome (6342538352436).

The spelling of 2010334022334 in words is "two trillion, ten billion, three hundred thirty-four million, twenty-two thousand, three hundred thirty-four".