2010344222040 has 512 divisors, whose sum is σ = 7688192163840. Its totient is φ = 408366950400.

The previous prime is 2010344222039. The next prime is 2010344222071. The reversal of 2010344222040 is 402224430102.

It is a super-2 number, since 2×2010344222040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2010344222040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 460768899 + ... + 460773261.

It is an arithmetic number, because the mean of its divisors is an integer number (15016000320).

Almost surely, 2^{2010344222040} is an apocalyptic number.

2010344222040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010344222040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3844096081920).

2010344222040 is an abundant number, since it is smaller than the sum of its proper divisors (5677847941800).

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

2010344222040 is a wasteful number, since it uses less digits than its factorization.

2010344222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5503 (or 5499 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 2010344222040 its reverse (402224430102), we get a palindrome (2412568652142).

The spelling of 2010344222040 in words is "two trillion, ten billion, three hundred forty-four million, two hundred twenty-two thousand, forty".