20122280640 has 1008 divisors, whose sum is σ = 88915305024. Its totient is φ = 4087480320.

The previous prime is 20122280597. The next prime is 20122280671. The reversal of 20122280640 is 4608222102.

It is a happy number.

20122280640 is a `hidden beast` number, since 2 + 0 + 12 + 2 + 2 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 178073224 + ... + 178073336.

It is an arithmetic number, because the mean of its divisors is an integer number (88209628).

Almost surely, 2^20122280640 is an apocalyptic number.

20122280640 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 20122280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44457652512).

20122280640 is an abundant number, since it is smaller than the sum of its proper divisors (68793024384).

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

20122280640 is a wasteful number, since it uses less digits than its factorization.

20122280640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20122280640 in words is "twenty billion, one hundred twenty-two million, two hundred eighty thousand, six hundred forty".