2220825672 has 96 divisors (see below), whose sum is σ = 6510504000. Its totient is φ = 679840128.

The previous prime is 2220825631. The next prime is 2220825683. The reversal of 2220825672 is 2765280222.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180303 + ... + 192225.

It is an arithmetic number, because the mean of its divisors is an integer number (67817750).

Almost surely, 2^2220825672 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 2220825672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255252000).

2220825672 is an abundant number, since it is smaller than the sum of its proper divisors (4289678328).

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

2220825672 is a wasteful number, since it uses less digits than its factorization.

2220825672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12147 (or 12140 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2220825672 is about 47125.6370991417. The cubic root of 2220825672 is about 1304.6824576406.

The spelling of 2220825672 in words is "two billion, two hundred twenty million, eight hundred twenty-five thousand, six hundred seventy-two".