2220010012032 has 128 divisors (see below), whose sum is σ = 5909975308800. Its totient is φ = 738364631040.

The previous prime is 2220010012007. The next prime is 2220010012039. The reversal of 2220010012032 is 2302100100222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220010012039) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 421972282 + ... + 421977542.

It is an arithmetic number, because the mean of its divisors is an integer number (46171682100).

Almost surely, 2^{2220010012032} 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 2220010012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954987654400).

2220010012032 is an abundant number, since it is smaller than the sum of its proper divisors (3689965296768).

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

2220010012032 is a wasteful number, since it uses less digits than its factorization.

2220010012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7504 (or 7492 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2220010012032 its reverse (2302100100222), we get a palindrome (4522110112254).

The spelling of 2220010012032 in words is "two trillion, two hundred twenty billion, ten million, twelve thousand, thirty-two".