2213322569640 has 1152 divisors, whose sum is σ = 9519746745600. Its totient is φ = 442109767680.

The previous prime is 2213322569639. The next prime is 2213322569699. The reversal of 2213322569640 is 469652233122.

2213322569640 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 22 + 569 + 64 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1494477700 + ... + 1494479180.

It is an arithmetic number, because the mean of its divisors is an integer number (8263669050).

Almost surely, 2^{2213322569640} is an apocalyptic number.

2213322569640 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 2213322569640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759873372800).

2213322569640 is an abundant number, since it is smaller than the sum of its proper divisors (7306424175960).

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

2213322569640 is a wasteful number, since it uses less digits than its factorization.

2213322569640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

It can be divided in two parts, 221332 and 2569640, that added together give a palindrome (2790972).

The spelling of 2213322569640 in words is "two trillion, two hundred thirteen billion, three hundred twenty-two million, five hundred sixty-nine thousand, six hundred forty".