2211604560 has 800 divisors, whose sum is σ = 9333688320. Its totient is φ = 479001600.

The previous prime is 2211604553. The next prime is 2211604601. The reversal of 2211604560 is 654061122.

2211604560 = 248² + 249² + ... + 1880².

2211604560 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 604 + 56 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 31149325 + ... + 31149395.

Almost surely, 2^2211604560 is an apocalyptic number.

2211604560 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 2211604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666844160).

2211604560 is an abundant number, since it is smaller than the sum of its proper divisors (7122083760).

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

2211604560 is a wasteful number, since it uses less digits than its factorization.

2211604560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2211604560 is about 47027.6999224925. The cubic root of 2211604560 is about 1302.8742244001.

Adding to 2211604560 its reverse (654061122), we get a palindrome (2865665682).

The spelling of 2211604560 in words is "two billion, two hundred eleven million, six hundred four thousand, five hundred sixty".