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2898864864 = 253279671487
BaseRepresentation
bin1010110011001001…
…0010101011100000
321111000201121000100
42230302102223200
521414102133424
61155352422400
7131556642030
oct25462225340
97430647010
102898864864
111258374095
1268a9a7a00
1337276416c
141d6ddb8c0
1511e767dc9
hexacc92ae0

2898864864 has 144 divisors (see below), whose sum is σ = 9437395968. Its totient is φ = 826834176.

The previous prime is 2898864851. The next prime is 2898864907. The reversal of 2898864864 is 4684688982.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1948729 + ... + 1950215.

It is an arithmetic number, because the mean of its divisors is an integer number (65537472).

Almost surely, 22898864864 is an apocalyptic number.

2898864864 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 2898864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718697984).

2898864864 is an abundant number, since it is smaller than the sum of its proper divisors (6538531104).

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

2898864864 is a wasteful number, since it uses less digits than its factorization.

2898864864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2466 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The square root of 2898864864 is about 53841.1075666168. The cubic root of 2898864864 is about 1425.8570593071.

The spelling of 2898864864 in words is "two billion, eight hundred ninety-eight million, eight hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 967 1008 1487 1934 2016 2901 2974 3868 4461 5802 5948 6769 7736 8703 8922 10409 11604 11896 13383 13538 15472 17406 17844 20307 20818 23208 23792 26766 27076 30944 31227 34812 35688 40614 41636 46416 47584 53532 54152 60921 62454 69624 71376 81228 83272 92832 93681 107064 108304 121842 124908 139248 142752 162456 166544 187362 214128 216608 243684 249816 278496 324912 333088 374724 428256 487368 499632 649824 749448 974736 999264 1437929 1498896 1949472 2875858 2997792 4313787 5751716 8627574 10065503 11503432 12941361 17255148 20131006 23006864 25882722 30196509 34510296 40262012 46013728 51765444 60393018 69020592 80524024 90589527 103530888 120786036 138041184 161048048 181179054 207061776 241572072 322096096 362358108 414123552 483144144 724716216 966288288 1449432432 2898864864