2220764544000 has 528 divisors, whose sum is σ = 8015925511776. Its totient is φ = 591224832000.

The previous prime is 2220764543993. The next prime is 2220764544043. The reversal of 2220764544000 is 4454670222.

2220764544000 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 7 + 645 + 4 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 934270812 + ... + 934273188.

Almost surely, 2^{2220764544000} is an apocalyptic number.

2220764544000 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 2220764544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007962755888).

2220764544000 is an abundant number, since it is smaller than the sum of its proper divisors (5795160967776).

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

2220764544000 is a wasteful number, since it uses less digits than its factorization.

2220764544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 2220764544000 in words is "two trillion, two hundred twenty billion, seven hundred sixty-four million, five hundred forty-four thousand".