22764256240 has 80 divisors (see below), whose sum is σ = 58387379040. Its totient is φ = 8184872960.

The previous prime is 22764256211. The next prime is 22764256241. The reversal of 22764256240 is 4265246722.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×22764256240³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22764256193 and 22764256202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22764256241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67009 + ... + 223648.

It is an arithmetic number, because the mean of its divisors is an integer number (729842238).

Almost surely, 2^22764256240 is an apocalyptic number.

22764256240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22764256240 is an abundant number, since it is smaller than the sum of its proper divisors (35623122800).

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

22764256240 is a wasteful number, since it uses less digits than its factorization.

22764256240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290770 (or 290764 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 40.

The spelling of 22764256240 in words is "twenty-two billion, seven hundred sixty-four million, two hundred fifty-six thousand, two hundred forty".