2252302400 has 84 divisors (see below), whose sum is σ = 5733295620. Its totient is φ = 869836800.

The previous prime is 2252302387. The next prime is 2252302411. The reversal of 2252302400 is 42032522.

It can be written as a sum of positive squares in 6 ways, for example, as 446392384 + 1805910016 = 21128^2 + 42496^2 .

It is a super-2 number, since 2×2252302400² = 10145732202091520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 22130 + ... + 70670.

Almost surely, 2^2252302400 is an apocalyptic number.

2252302400 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 2252302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2866647810).

2252302400 is an abundant number, since it is smaller than the sum of its proper divisors (3480993220).

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

2252302400 is a wasteful number, since it uses less digits than its factorization.

2252302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48592 (or 48577 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2252302400 is about 47458.4281239908. The cubic root of 2252302400 is about 1310.8175073253.

Adding to 2252302400 its reverse (42032522), we get a palindrome (2294334922).

The spelling of 2252302400 in words is "two billion, two hundred fifty-two million, three hundred two thousand, four hundred".