2250420480 has 864 divisors, whose sum is σ = 10101611520. Its totient is φ = 449003520.

The previous prime is 2250420449. The next prime is 2250420521. The reversal of 2250420480 is 840240522.

It is a happy 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, 38142691 + ... + 38142749.

It is an arithmetic number, because the mean of its divisors is an integer number (11691680).

Almost surely, 2^2250420480 is an apocalyptic number.

2250420480 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 2250420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050805760).

2250420480 is an abundant number, since it is smaller than the sum of its proper divisors (7851191040).

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

2250420480 is a wasteful number, since it uses less digits than its factorization.

2250420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2250420480 is about 47438.5969438389. The cubic root of 2250420480 is about 1310.4523193788.

The spelling of 2250420480 in words is "two billion, two hundred fifty million, four hundred twenty thousand, four hundred eighty".