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2390241024 = 28324722073
BaseRepresentation
bin1000111001111000…
…0010111100000000
320011120122211021100
42032132002330000
514343400203044
61033103054400
7113142466503
oct21636027400
96146584240
102390241024
111017257506
125685a1400
132c127ca02
1418963d13a
15dec99869
hex8e782f00

2390241024 has 108 divisors (see below), whose sum is σ = 7038603936. Its totient is φ = 779759616.

The previous prime is 2390241023. The next prime is 2390241067. The reversal of 2390241024 is 4201420932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2390241023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97252 + ... + 119324.

Almost surely, 22390241024 is an apocalyptic number.

2390241024 is a gapful number since it is divisible by the number (24) 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 2390241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519301968).

2390241024 is an abundant number, since it is smaller than the sum of its proper divisors (4648362912).

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

2390241024 is a wasteful number, since it uses less digits than its factorization.

2390241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22142 (or 22125 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2390241024 is about 48890.0912660224. The cubic root of 2390241024 is about 1337.0487182089.

Adding to 2390241024 its reverse (4201420932), we get a palindrome (6591661956).

The spelling of 2390241024 in words is "two billion, three hundred ninety million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 564 576 752 768 846 1128 1152 1504 1692 2256 2304 3008 3384 4512 6016 6768 9024 12032 13536 18048 22073 27072 36096 44146 54144 66219 88292 108288 132438 176584 198657 264876 353168 397314 529752 706336 794628 1037431 1059504 1412672 1589256 2074862 2119008 2825344 3112293 3178512 4149724 4238016 5650688 6224586 6357024 8299448 8476032 9336879 12449172 12714048 16598896 16952064 18673758 24898344 25428096 33197792 37347516 49796688 50856192 66395584 74695032 99593376 132791168 149390064 199186752 265582336 298780128 398373504 597560256 796747008 1195120512 2390241024