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2680339984 = 2472434
BaseRepresentation
bin1001111111000010…
…1011111000010000
320220210112101020021
42133300223320100
520442131334414
61121544553224
7123264341200
oct23760537020
96823471207
102680339984
111155a89113
12629782814
133393c1cba
141b5d96400
1510a49ec24
hex9fc2be10

2680339984 has 75 divisors (see below), whose sum is σ = 6184855167. Its totient is φ = 1122002784.

The previous prime is 2680339951. The next prime is 2680339997. The reversal of 2680339984 is 4899330862.

The square root of 2680339984 is 51772.

It is a perfect power (a square), and thus also a powerful number.

2680339984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 62333467 + ... + 62333509.

Almost surely, 22680339984 is an apocalyptic number.

2680339984 is the 51772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680339984

2680339984 is an abundant number, since it is smaller than the sum of its proper divisors (3504515183).

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

2680339984 is an frugal number, since it uses more digits than its factorization.

2680339984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The cubic root of 2680339984 is about 1389.0886464295.

The spelling of 2680339984 in words is "two billion, six hundred eighty million, three hundred thirty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 301 344 392 602 688 784 1204 1849 2107 2408 3698 4214 4816 7396 8428 12943 14792 16856 25886 29584 33712 51772 79507 90601 103544 159014 181202 207088 318028 362404 556549 636056 724808 1113098 1272112 1449616 2226196 3418801 3895843 4452392 6837602 7791686 8904784 13675204 15583372 23931607 27350408 31166744 47863214 54700816 62333488 95726428 167521249 191452856 335042498 382905712 670084996 1340169992 2680339984