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2682942640 = 245723673109
BaseRepresentation
bin1001111111101010…
…0111010010110000
320220222102121101221
42133322213102300
520443313131030
61122120434424
7123325431130
oct23772472260
96828377357
102682942640
1111574a6574
1262a618a14
13339ac3831
141b6472ac0
1510a815e7a
hex9fea74b0

2682942640 has 160 divisors (see below), whose sum is σ = 7552373760. Its totient is φ = 866460672.

The previous prime is 2682942629. The next prime is 2682942643. The reversal of 2682942640 is 462492862.

It is not an unprimeable number, because it can be changed into a prime (2682942643) 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, 861406 + ... + 864514.

It is an arithmetic number, because the mean of its divisors is an integer number (47202336).

Almost surely, 22682942640 is an apocalyptic number.

2682942640 is a gapful number since it is divisible by the number (20) 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 2682942640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776186880).

2682942640 is an abundant number, since it is smaller than the sum of its proper divisors (4869431120).

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

2682942640 is a wasteful number, since it uses less digits than its factorization.

2682942640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 2682942640 is about 51797.1296502036. The cubic root of 2682942640 is about 1389.5381105987.

The spelling of 2682942640 in words is "two billion, six hundred eighty-two million, nine hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 67 70 80 92 112 115 134 140 161 184 230 268 280 322 335 368 460 469 536 560 644 670 805 920 938 1072 1288 1340 1541 1610 1840 1876 2345 2576 2680 3082 3109 3220 3752 4690 5360 6164 6218 6440 7504 7705 9380 10787 12328 12436 12880 15410 15545 18760 21574 21763 24656 24872 30820 31090 37520 43148 43526 49744 53935 61640 62180 71507 86296 87052 107870 108815 123280 124360 143014 172592 174104 208303 215740 217630 248720 286028 348208 357535 416606 431480 435260 500549 572056 715070 833212 862960 870520 1001098 1041515 1144112 1430140 1458121 1666424 1741040 2002196 2083030 2502745 2860280 2916242 3332848 4004392 4166060 4790969 5005490 5720560 5832484 7290605 8008784 8332120 9581938 10010980 11664968 14581210 16664240 19163876 20021960 23329936 23954845 29162420 33536783 38327752 40043920 47909690 58324840 67073566 76655504 95819380 116649680 134147132 167683915 191638760 268294264 335367830 383277520 536588528 670735660 1341471320 2682942640