2010435410312 has 96 divisors (see below), whose sum is σ = 4501515409920. Its totient is φ = 838912112640.

The previous prime is 2010435410303. The next prime is 2010435410341. The reversal of 2010435410312 is 2130145340102.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3273137 + ... + 3838527.

It is an arithmetic number, because the mean of its divisors is an integer number (46890785520).

Almost surely, 2^{2010435410312} 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 2010435410312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250757704960).

2010435410312 is an abundant number, since it is smaller than the sum of its proper divisors (2491079999608).

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

2010435410312 is a wasteful number, since it uses less digits than its factorization.

2010435410312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565651 (or 565640 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 2010435410312 in words is "two trillion, ten billion, four hundred thirty-five million, four hundred ten thousand, three hundred twelve".