2210013330000 has 400 divisors, whose sum is σ = 8373783031680. Its totient is φ = 491491584000.

The previous prime is 2210013329957. The next prime is 2210013330013. The reversal of 2210013330000 is 333100122.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7627786 + ... + 7912214.

Almost surely, 2^{2210013330000} is an apocalyptic number.

2210013330000 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 2210013330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186891515840).

2210013330000 is an abundant number, since it is smaller than the sum of its proper divisors (6163769701680).

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

2210013330000 is a wasteful number, since it uses less digits than its factorization.

2210013330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284504 (or 284483 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2210013330000 its reverse (333100122), we get a palindrome (2210346430122).

The spelling of 2210013330000 in words is "two trillion, two hundred ten billion, thirteen million, three hundred thirty thousand".