3022306560 has 864 divisors, whose sum is σ = 13639530240. Its totient is φ = 617103360.

The previous prime is 3022306523. The next prime is 3022306561. The reversal of 3022306560 is 656032203.

3022306560 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 3 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-4 number, since 4×3022306560⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3022306561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97493745 + ... + 97493775.

Almost surely, 2^3022306560 is an apocalyptic number.

3022306560 is a gapful number since it is divisible by the number (30) 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 3022306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6819765120).

3022306560 is an abundant number, since it is smaller than the sum of its proper divisors (10617223680).

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

3022306560 is a wasteful number, since it uses less digits than its factorization.

3022306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 3022306560 is about 54975.5087288876. The cubic root of 3022306560 is about 1445.8153721678.

Adding to 3022306560 its reverse (656032203), we get a palindrome (3678338763).

The spelling of 3022306560 in words is "three billion, twenty-two million, three hundred six thousand, five hundred sixty".