2250600040 has 72 divisors (see below), whose sum is σ = 5492860290. Its totient is φ = 829550592.

The previous prime is 2250600019. The next prime is 2250600041. The reversal of 2250600040 is 400060522.

It can be written as a sum of positive squares in 9 ways, for example, as 788149476 + 1462450564 = 28074^2 + 38242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2250599990 and 2250600017.

It is not an unprimeable number, because it can be changed into a prime (2250600041) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3900232 + ... + 3900808.

Almost surely, 2^2250600040 is an apocalyptic number.

2250600040 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 2250600040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746430145).

2250600040 is an abundant number, since it is smaller than the sum of its proper divisors (3242260250).

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

2250600040 is an equidigital number, since it uses as much as digits as its factorization.

2250600040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2250600040 is about 47440.4894578460. The cubic root of 2250600040 is about 1310.4871719115.

Adding to 2250600040 its reverse (400060522), we get a palindrome (2650660562).

The spelling of 2250600040 in words is "two billion, two hundred fifty million, six hundred thousand, forty".