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2442896664 = 23313291092477
BaseRepresentation
bin1001000110011011…
…1010010100011000
320022020202000020020
42101212322110120
520000340143124
61042223430440
7114352164465
oct22146722430
96266660206
102442896664
111043a5146a
12582155420
132cc157ab0
1419262866c
15e46eb379
hex919ba518

2442896664 has 128 divisors (see below), whose sum is σ = 6869016000. Its totient is φ = 718792704.

The previous prime is 2442896641. The next prime is 2442896669. The reversal of 2442896664 is 4666982442.

It is a super-2 number, since 2×24428966642 = 11935488221964657792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2442896669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984994 + ... + 987470.

Almost surely, 22442896664 is an apocalyptic number.

2442896664 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 2442896664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3434508000).

2442896664 is an abundant number, since it is smaller than the sum of its proper divisors (4426119336).

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

2442896664 is a wasteful number, since it uses less digits than its factorization.

2442896664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2633 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The square root of 2442896664 is about 49425.6680683226. The cubic root of 2442896664 is about 1346.7956308324.

The spelling of 2442896664 in words is "two billion, four hundred forty-two million, eight hundred ninety-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 109 116 156 174 218 232 312 327 348 377 436 654 696 754 872 1131 1308 1417 1508 2262 2477 2616 2834 3016 3161 4251 4524 4954 5668 6322 7431 8502 9048 9483 9908 11336 12644 14862 17004 18966 19816 25288 29724 32201 34008 37932 41093 59448 64402 71833 75864 82186 96603 123279 128804 143666 164372 193206 215499 246558 257608 269993 287332 328744 386412 430998 493116 539986 574664 772824 809979 861996 933829 986232 1079972 1619958 1723992 1867658 2159944 2801487 3239916 3509909 3735316 5602974 6479832 7019818 7470632 7829797 10529727 11205948 14039636 15659594 21059454 22411896 23489391 28079272 31319188 42118908 46978782 62638376 84237816 93957564 101787361 187915128 203574722 305362083 407149444 610724166 814298888 1221448332 2442896664