2252225520 has 160 divisors (see below), whose sum is σ = 7967615040. Its totient is φ = 584340480.

The previous prime is 2252225519. The next prime is 2252225533. The reversal of 2252225520 is 255222522.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65830 + ... + 94010.

It is an arithmetic number, because the mean of its divisors is an integer number (49797594).

Almost surely, 2^2252225520 is an apocalyptic number.

2252225520 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 2252225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983807520).

2252225520 is an abundant number, since it is smaller than the sum of its proper divisors (5715389520).

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

2252225520 is a wasteful number, since it uses less digits than its factorization.

2252225520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28240 (or 28228 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2252225520 is about 47457.6181450355. The cubic root of 2252225520 is about 1310.8025926915.

The spelling of 2252225520 in words is "two billion, two hundred fifty-two million, two hundred twenty-five thousand, five hundred twenty".