220259627742 has 384 divisors, whose sum is σ = 603646525440. Its totient is φ = 52285939200.

The previous prime is 220259627729. The next prime is 220259627743. The reversal of 220259627742 is 247726952022.

It is a super-2 number, since 2×220259627742² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220259627691 and 220259627700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220259627743) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 322488133 + ... + 322488815.

It is an arithmetic number, because the mean of its divisors is an integer number (1571996160).

Almost surely, 2^220259627742 is an apocalyptic number.

220259627742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220259627742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301823262720).

220259627742 is an abundant number, since it is smaller than the sum of its proper divisors (383386897698).

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

220259627742 is a wasteful number, since it uses less digits than its factorization.

220259627742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 220259627742 in words is "two hundred twenty billion, two hundred fifty-nine million, six hundred twenty-seven thousand, seven hundred forty-two".