2250211320 has 384 divisors, whose sum is σ = 8832628800. Its totient is φ = 508032000.

The previous prime is 2250211319. The next prime is 2250211333. The reversal of 2250211320 is 231120522.

It is a super-2 number, since 2×2250211320² = 10126901969312284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2250211293 and 2250211302.

It is a congruent 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, 5344710 + ... + 5345130.

Almost surely, 2^2250211320 is an apocalyptic number.

2250211320 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 2250211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416314400).

2250211320 is an abundant number, since it is smaller than the sum of its proper divisors (6582417480).

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

2250211320 is a wasteful number, since it uses less digits than its factorization.

2250211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2250211320 is about 47436.3923586101. The cubic root of 2250211320 is about 1310.4117191588.

Adding to 2250211320 its reverse (231120522), we get a palindrome (2481331842).

The spelling of 2250211320 in words is "two billion, two hundred fifty million, two hundred eleven thousand, three hundred twenty".