2220035826672 has 240 divisors, whose sum is σ = 6509495865600. Its totient is φ = 732429029376.

The previous prime is 2220035826647. The next prime is 2220035826683. The reversal of 2220035826672 is 2766285300222.

It is a happy number.

2220035826672 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 0 + 3 + 582 + 6 + 67 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149318983 + ... + 149333849.

It is an arithmetic number, because the mean of its divisors is an integer number (27122899440).

Almost surely, 2^{2220035826672} 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 2220035826672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254747932800).

2220035826672 is an abundant number, since it is smaller than the sum of its proper divisors (4289460038928).

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

2220035826672 is a wasteful number, since it uses less digits than its factorization.

2220035826672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15282 (or 15264 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2220035826672 in words is "two trillion, two hundred twenty billion, thirty-five million, eight hundred twenty-six thousand, six hundred seventy-two".