221002266240 has 640 divisors, whose sum is σ = 919086030720. Its totient is φ = 49557381120.

The previous prime is 221002266227. The next prime is 221002266271. The reversal of 221002266240 is 42662200122.

It is a happy number.

221002266240 is a `hidden beast` number, since 2 + 2 + 10 + 0 + 2 + 26 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 19226895 + ... + 19238385.

It is an arithmetic number, because the mean of its divisors is an integer number (1436071923).

Almost surely, 2^221002266240 is an apocalyptic number.

221002266240 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 221002266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459543015360).

221002266240 is an abundant number, since it is smaller than the sum of its proper divisors (698083764480).

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

221002266240 is a wasteful number, since it uses less digits than its factorization.

221002266240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11582 (or 11561 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 221002266240 its reverse (42662200122), we get a palindrome (263664466362).

The spelling of 221002266240 in words is "two hundred twenty-one billion, two million, two hundred sixty-six thousand, two hundred forty".