2252275200 has 960 divisors, whose sum is σ = 10148160000. Its totient is φ = 487710720.

The previous prime is 2252275189. The next prime is 2252275213. The reversal of 2252275200 is 25722522.

2252275200 = 84³ + 85³ + ... + 308³.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118540791 + ... + 118540809.

It is an arithmetic number, because the mean of its divisors is an integer number (10571000).

Almost surely, 2^2252275200 is an apocalyptic number.

2252275200 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 2252275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074080000).

2252275200 is an abundant number, since it is smaller than the sum of its proper divisors (7895884800).

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

2252275200 is an equidigital number, since it uses as much as digits as its factorization.

2252275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2252275200 is about 47458.1415565338. The cubic root of 2252275200 is about 1310.8122305946.

Adding to 2252275200 its reverse (25722522), we get a palindrome (2277997722).

The spelling of 2252275200 in words is "two billion, two hundred fifty-two million, two hundred seventy-five thousand, two hundred".