2221717417920 has 2688 divisors, whose sum is σ = 11042885468160. Its totient is φ = 394667458560.

The previous prime is 2221717417919. The next prime is 2221717418003. The reversal of 2221717417920 is 297147171222.

It is a happy number.

2221717417920 is a `hidden beast` number, since 2 + 2 + 217 + 17 + 417 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×2221717417920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2574411409 + ... + 2574412271.

It is an arithmetic number, because the mean of its divisors is an integer number (4108216320).

Almost surely, 2^{2221717417920} is an apocalyptic number.

2221717417920 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 2221717417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521442734080).

2221717417920 is an abundant number, since it is smaller than the sum of its proper divisors (8821168050240).

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

2221717417920 is a wasteful number, since it uses less digits than its factorization.

2221717417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 2221717417920 in words is "two trillion, two hundred twenty-one billion, seven hundred seventeen million, four hundred seventeen thousand, nine hundred twenty".