22022308218240 has 1024 divisors, whose sum is σ = 88695015552000. Its totient is φ = 5115130675200.

The previous prime is 22022308218199. The next prime is 22022308218289. The reversal of 22022308218240 is 4281280322022.

22022308218240 is a `hidden beast` number, since 2 + 202 + 230 + 8 + 2 + 182 + 40 = 666.

It is a super-2 number, since 2×22022308218240² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 22022308218195 and 22022308218204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 722098672 + ... + 722129168.

It is an arithmetic number, because the mean of its divisors is an integer number (86616226125).

Almost surely, 2^{22022308218240} is an apocalyptic number.

22022308218240 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 22022308218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44347507776000).

22022308218240 is an abundant number, since it is smaller than the sum of its proper divisors (66672707333760).

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

22022308218240 is a wasteful number, since it uses less digits than its factorization.

22022308218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30696 (or 30678 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 22022308218240 in words is "twenty-two trillion, twenty-two billion, three hundred eight million, two hundred eighteen thousand, two hundred forty".