2252305440 has 960 divisors, whose sum is σ = 10344837888. Its totient is φ = 447897600.

The previous prime is 2252305423. The next prime is 2252305441. The reversal of 2252305440 is 445032522.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252305441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36923010 + ... + 36923070.

Almost surely, 2^2252305440 is an apocalyptic number.

2252305440 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 2252305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172418944).

2252305440 is an abundant number, since it is smaller than the sum of its proper divisors (8092532448).

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

2252305440 is a wasteful number, since it uses less digits than its factorization.

2252305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2252305440 is about 47458.4601520108. The cubic root of 2252305440 is about 1310.8180970749.

Adding to 2252305440 its reverse (445032522), we get a palindrome (2697337962).

The spelling of 2252305440 in words is "two billion, two hundred fifty-two million, three hundred five thousand, four hundred forty".