2253166020 has 432 divisors, whose sum is σ = 8604610560. Its totient is φ = 474388992.

The previous prime is 2253165961. The next prime is 2253166061. The reversal of 2253166020 is 206613522.

2253166020 is a `hidden beast` number, since 2 + 2 + 53 + 1 + 6 + 602 + 0 = 666.

It is a super-2 number, since 2×2253166020² = 10153514227365280800, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 5882749 + ... + 5883131.

It is an arithmetic number, because the mean of its divisors is an integer number (19918080).

Almost surely, 2^2253166020 is an apocalyptic number.

2253166020 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 2253166020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302305280).

2253166020 is an abundant number, since it is smaller than the sum of its proper divisors (6351444540).

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

2253166020 is a wasteful number, since it uses less digits than its factorization.

2253166020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2253166020 is about 47467.5259519600. The cubic root of 2253166020 is about 1310.9850253217.

Adding to 2253166020 its reverse (206613522), we get a palindrome (2459779542).

The spelling of 2253166020 in words is "two billion, two hundred fifty-three million, one hundred sixty-six thousand, twenty".