22610465280 has 320 divisors, whose sum is σ = 86495713920. Its totient is φ = 5565431808.

The previous prime is 22610465237. The next prime is 22610465287. The reversal of 22610465280 is 8256401622.

It is a happy number.

22610465280 is a `hidden beast` number, since 2 + 26 + 104 + 6 + 528 + 0 = 666.

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

It is a super-2 number, since 2×22610465280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22610465287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885979 + ... + 911141.

It is an arithmetic number, because the mean of its divisors is an integer number (270299106).

Almost surely, 2^22610465280 is an apocalyptic number.

22610465280 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 22610465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43247856960).

22610465280 is an abundant number, since it is smaller than the sum of its proper divisors (63885248640).

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

22610465280 is a wasteful number, since it uses less digits than its factorization.

22610465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25208 (or 25186 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 22610465280 in words is "twenty-two billion, six hundred ten million, four hundred sixty-five thousand, two hundred eighty".