2220625152 has 288 divisors, whose sum is σ = 7114755200. Its totient is φ = 680804352.

The previous prime is 2220625129. The next prime is 2220625157. The reversal of 2220625152 is 2515260222.

2220625152 is a `hidden beast` number, since 2 + 2 + 20 + 625 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220625157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4858908 + ... + 4859364.

Almost surely, 2^2220625152 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 2220625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557377600).

2220625152 is an abundant number, since it is smaller than the sum of its proper divisors (4894130048).

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

2220625152 is a wasteful number, since it uses less digits than its factorization.

2220625152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2220625152 is about 47123.5095467220. The cubic root of 2220625152 is about 1304.6431895426.

Adding to 2220625152 its reverse (2515260222), we get a palindrome (4735885374).

The spelling of 2220625152 in words is "two billion, two hundred twenty million, six hundred twenty-five thousand, one hundred fifty-two".