2201316480 has 512 divisors, whose sum is σ = 8762860800. Its totient is φ = 517570560.

The previous prime is 2201316473. The next prime is 2201316511. The reversal of 2201316480 is 846131022.

2201316480 is a `hidden beast` number, since 2 + 2 + 0 + 13 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7032804 + ... + 7033116.

Almost surely, 2^2201316480 is an apocalyptic number.

2201316480 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 2201316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381430400).

2201316480 is an abundant number, since it is smaller than the sum of its proper divisors (6561544320).

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

2201316480 is a wasteful number, since it uses less digits than its factorization.

2201316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2201316480 is about 46918.1892233705. The cubic root of 2201316480 is about 1300.8508197626.

The spelling of 2201316480 in words is "two billion, two hundred one million, three hundred sixteen thousand, four hundred eighty".