2221136640 has 432 divisors, whose sum is σ = 8227328928. Its totient is φ = 573308928.

The previous prime is 2221136627. The next prime is 2221136641. The reversal of 2221136640 is 466311222.

2221136640 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 13 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (2221136641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11508384 + ... + 11508576.

Almost surely, 2^2221136640 is an apocalyptic number.

2221136640 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 2221136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113664464).

2221136640 is an abundant number, since it is smaller than the sum of its proper divisors (6006192288).

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

2221136640 is an equidigital number, since it uses as much as digits as its factorization.

2221136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2221136640 is about 47128.9363342734. The cubic root of 2221136640 is about 1304.7433502423.

Adding to 2221136640 its reverse (466311222), we get a palindrome (2687447862).

The spelling of 2221136640 in words is "two billion, two hundred twenty-one million, one hundred thirty-six thousand, six hundred forty".