2225646720 has 384 divisors, whose sum is σ = 8701318080. Its totient is φ = 539136000.

The previous prime is 2225646713. The next prime is 2225646739. The reversal of 2225646720 is 276465222.

2225646720 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 646 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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, 1710070 + ... + 1711370.

Almost surely, 2^2225646720 is an apocalyptic number.

2225646720 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 2225646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4350659040).

2225646720 is an abundant number, since it is smaller than the sum of its proper divisors (6475671360).

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

2225646720 is a wasteful number, since it uses less digits than its factorization.

2225646720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2225646720 is about 47176.7603805094. The cubic root of 2225646720 is about 1305.6258591332.

The spelling of 2225646720 in words is "two billion, two hundred twenty-five million, six hundred forty-six thousand, seven hundred twenty".