2250402400 has 72 divisors (see below), whose sum is σ = 5501366640. Its totient is φ = 898920960.

The previous prime is 2250402379. The next prime is 2250402431. The reversal of 2250402400 is 42040522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 772146 + ... + 775054.

It is an arithmetic number, because the mean of its divisors is an integer number (76407870).

Almost surely, 2^2250402400 is an apocalyptic number.

2250402400 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 2250402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750683320).

2250402400 is an abundant number, since it is smaller than the sum of its proper divisors (3250964240).

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

2250402400 is a wasteful number, since it uses less digits than its factorization.

2250402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3896 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2250402400 is about 47438.4063813278. The cubic root of 2250402400 is about 1310.4488099544.

Adding to 2250402400 its reverse (42040522), we get a palindrome (2292442922).

The spelling of 2250402400 in words is "two billion, two hundred fifty million, four hundred two thousand, four hundred".