2221135488 has 384 divisors, whose sum is σ = 7640942400. Its totient is φ = 610467840.

The previous prime is 2221135487. The next prime is 2221135537. The reversal of 2221135488 is 8845311222.

It is a happy number.

2221135488 is a `hidden beast` number, since 2 + 221 + 1 + 354 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (2221135487) 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, 15979323 + ... + 15979461.

Almost surely, 2^2221135488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820471200).

2221135488 is an abundant number, since it is smaller than the sum of its proper divisors (5419806912).

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

2221135488 is a wasteful number, since it uses less digits than its factorization.

2221135488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 2221135488 is about 47128.9241124811. The cubic root of 2221135488 is about 1304.7431246725.

The spelling of 2221135488 in words is "two billion, two hundred twenty-one million, one hundred thirty-five thousand, four hundred eighty-eight".