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2442330016 = 257591811021
BaseRepresentation
bin1001000110010010…
…1111111110100000
320022012200012221021
42101210233332200
520000214030031
61042203335224
7114344314450
oct22144577640
96265605837
102442330016
1110436a4765
12581b21514
132cbcb9bb9
1419251bd60
15e4638511
hex9192ffa0

2442330016 has 96 divisors (see below), whose sum is σ = 5624760960. Its totient is φ = 1022284800.

The previous prime is 2442329983. The next prime is 2442330031. The reversal of 2442330016 is 6100332442.

2442330016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2391586 + ... + 2392606.

It is an arithmetic number, because the mean of its divisors is an integer number (58591260).

Almost surely, 22442330016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812380480).

2442330016 is an abundant number, since it is smaller than the sum of its proper divisors (3182430944).

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

2442330016 is a wasteful number, since it uses less digits than its factorization.

2442330016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 2442330016 is about 49419.9354107227. The cubic root of 2442330016 is about 1346.6914897014.

Adding to 2442330016 its reverse (6100332442), we get a palindrome (8542662458).

The spelling of 2442330016 in words is "two billion, four hundred forty-two million, three hundred thirty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 181 224 236 362 413 472 724 826 944 1021 1267 1448 1652 1888 2042 2534 2896 3304 4084 5068 5792 6608 7147 8168 10136 10679 13216 14294 16336 20272 21358 28588 32672 40544 42716 57176 60239 74753 85432 114352 120478 149506 170864 184801 228704 240956 299012 341728 369602 421673 481912 598024 739204 843346 963824 1196048 1293607 1478408 1686692 1927648 2392096 2587214 2956816 3373384 5174428 5913632 6746768 10348856 10903259 13493536 20697712 21806518 41395424 43613036 76322813 87226072 152645626 174452144 305291252 348904288 610582504 1221165008 2442330016