2250593280 has 594 divisors, whose sum is σ = 8970195546. Its totient is φ = 521404416.

The previous prime is 2250593269. The next prime is 2250593329. The reversal of 2250593280 is 823950522.

It can be written as a sum of positive squares in 9 ways, for example, as 632623104 + 1617970176 = 25152^2 + 40224^2 .

It is a super-2 number, since 2×2250593280² = 10130340223962316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 132387832 + ... + 132387848.

Almost surely, 2^2250593280 is an apocalyptic number.

2250593280 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 2250593280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485097773).

2250593280 is an abundant number, since it is smaller than the sum of its proper divisors (6719602266).

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

2250593280 is a wasteful number, since it uses less digits than its factorization.

2250593280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2250593280 is about 47440.4182106355. The cubic root of 2250593280 is about 1310.4858598315.

The spelling of 2250593280 in words is "two billion, two hundred fifty million, five hundred ninety-three thousand, two hundred eighty".