22206512640 has 320 divisors, whose sum is σ = 77274179136. Its totient is φ = 5407506432.

The previous prime is 22206512623. The next prime is 22206512641. The reversal of 22206512640 is 4621560222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22206512598 and 22206512607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22206512641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9683334 + ... + 9685626.

Almost surely, 2^22206512640 is an apocalyptic number.

22206512640 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 22206512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38637089568).

22206512640 is an abundant number, since it is smaller than the sum of its proper divisors (55067666496).

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

22206512640 is a wasteful number, since it uses less digits than its factorization.

22206512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2413 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 22206512640 in words is "twenty-two billion, two hundred six million, five hundred twelve thousand, six hundred forty".