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2421067968 = 26341142457
BaseRepresentation
bin1001000001001110…
…1001000011000000
320020201122222220000
42100103221003000
514424243133333
61040123520000
7113665511124
oct22023510300
96221588800
102421067968
1110326a2220
12576989000
132c77841c7
1418d785584
15e2838713
hex904e90c0

2421067968 has 140 divisors (see below), whose sum is σ = 7829425032. Its totient is φ = 733639680.

The previous prime is 2421067907. The next prime is 2421067969. The reversal of 2421067968 is 8697601242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2421067969) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35796 + ... + 78252.

Almost surely, 22421067968 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 2421067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3914712516).

2421067968 is an abundant number, since it is smaller than the sum of its proper divisors (5408357064).

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

2421067968 is a wasteful number, since it uses less digits than its factorization.

2421067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42492 (or 42473 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2421067968 is about 49204.3490760725. The cubic root of 2421067968 is about 1342.7721566772.

The spelling of 2421067968 in words is "two billion, four hundred twenty-one million, sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 28512 42457 57024 84914 127371 169828 254742 339656 382113 467027 509484 679312 764226 934054 1018968 1146339 1358624 1401081 1528452 1868108 2037936 2292678 2717248 2802162 3056904 3439017 3736216 4075872 4203243 4585356 5604324 6113808 6878034 7472432 8151744 8406486 9170712 11208648 12227616 12609729 13756068 14944864 16812972 18341424 22417296 24455232 25219458 27512136 29889728 33625944 36682848 37829187 44834592 50438916 55024272 67251888 73365696 75658374 89669184 100877832 110048544 134503776 151316748 201755664 220097088 269007552 302633496 403511328 605266992 807022656 1210533984 2421067968