2220326485776 has 585 divisors, whose sum is σ = 7610576580261. Its totient is φ = 625688872704.

The previous prime is 2220326485757. The next prime is 2220326485777. The reversal of 2220326485776 is 6775846230222.

The square root of 2220326485776 is 1490076.

It is a perfect power (a square), and thus also a powerful number.

2220326485776 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 3 + 2 + 64 + 8 + 577 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1260365475600 + 959961010176 = 1122660^2 + 979776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2220326485777) by changing a digit.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 30415431276 + ... + 30415431348.

Almost surely, 2^{2220326485776} is an apocalyptic number.

2220326485776 is the 1490076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220326485776

2220326485776 is an abundant number, since it is smaller than the sum of its proper divisors (5390250094485).

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

2220326485776 is an frugal number, since it uses more digits than its factorization.

2220326485776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 2220326485776 in words is "two trillion, two hundred twenty billion, three hundred twenty-six million, four hundred eighty-five thousand, seven hundred seventy-six".