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2442640220262 = 234117191906439
BaseRepresentation
bin100011100010111000101…
…100111110000001100110
322122111212210111211210000
4203202320230332001212
5310010011344022022
65110044453042130
7341321621204034
oct43427054760146
98574783454700
102442640220262
11861a107a7840
12335497326346
13149455c3aa78
148631db31554
15438130856ac
hex238b8b3e066

2442640220262 has 80 divisors (see below), whose sum is σ = 5979205900800. Its totient is φ = 739164141360.

The previous prime is 2442640220249. The next prime is 2442640220291. The reversal of 2442640220262 is 2620220462442.

2442640220262 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 640 + 2 + 2 + 0 + 2 + 6 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 328039 + ... + 2234477.

It is an arithmetic number, because the mean of its divisors is an integer number (74740073760).

Almost surely, 22442640220262 is an apocalyptic number.

2442640220262 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 2442640220262, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2989602950400).

2442640220262 is an abundant number, since it is smaller than the sum of its proper divisors (3536565680538).

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

2442640220262 is a wasteful number, since it uses less digits than its factorization.

2442640220262 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907183 (or 1907174 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 2442640220262 in words is "two trillion, four hundred forty-two billion, six hundred forty million, two hundred twenty thousand, two hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 719 891 1438 1782 2157 4314 6471 7909 12942 15818 19413 23727 38826 47454 58239 71181 116478 142362 213543 427086 640629 1281258 1906439 3812878 5719317 11438634 17157951 20970829 34315902 41941658 51473853 62912487 102947706 125824974 154421559 188737461 308843118 377474922 566212383 1132424766 1370729641 1698637149 2741459282 3397274298 4112188923 8224377846 12336566769 15078026051 24673133538 30156052102 37009700307 45234078153 74019400614 90468156306 111029100921 135702234459 222058201842 271404468918 407106703377 814213406754 1221320110131 2442640220262