2252081664 has 480 divisors, whose sum is σ = 8290719360. Its totient is φ = 589234176.

The previous prime is 2252081659. The next prime is 2252081717. The reversal of 2252081664 is 4661802522.

It is a happy number.

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, 60867054 + ... + 60867090.

It is an arithmetic number, because the mean of its divisors is an integer number (17272332).

Almost surely, 2^2252081664 is an apocalyptic number.

2252081664 is a gapful number since it is divisible by the number (24) 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 2252081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145359680).

2252081664 is an abundant number, since it is smaller than the sum of its proper divisors (6038637696).

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

2252081664 is an equidigital number, since it uses as much as digits as its factorization.

2252081664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2252081664 is about 47456.1024948320. The cubic root of 2252081664 is about 1310.7746838770.

The spelling of 2252081664 in words is "two billion, two hundred fifty-two million, eighty-one thousand, six hundred sixty-four".