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2606688980 = 2257411034409
BaseRepresentation
bin1001101101011110…
…1110101011010100
320201122221112001022
42123113232223110
520314303021410
61110354220312
7121411330220
oct23327565324
96648845038
102606688980
111118454015
12608b84698
1332707571c
141aa2a3780
15103ca2455
hex9b5eead4

2606688980 has 96 divisors (see below), whose sum is σ = 6472327680. Its totient is φ = 863262720.

The previous prime is 2606688979. The next prime is 2606689031. The reversal of 2606688980 is 898866062.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589016 + ... + 593424.

It is an arithmetic number, because the mean of its divisors is an integer number (67420080).

Almost surely, 22606688980 is an apocalyptic number.

2606688980 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 2606688980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236163840).

2606688980 is an abundant number, since it is smaller than the sum of its proper divisors (3865638700).

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

2606688980 is a wasteful number, since it uses less digits than its factorization.

2606688980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 53.

The square root of 2606688980 is about 51055.7438492478. The cubic root of 2606688980 is about 1376.2470634483.

The spelling of 2606688980 in words is "two billion, six hundred six million, six hundred eighty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 103 140 164 205 206 287 410 412 515 574 721 820 1030 1148 1435 1442 2060 2870 2884 3605 4223 4409 5740 7210 8446 8818 14420 16892 17636 21115 22045 29561 30863 42230 44090 59122 61726 84460 88180 118244 123452 147805 154315 180769 295610 308630 361538 454127 591220 617260 723076 903845 908254 1265383 1807690 1816508 2270635 2530766 3178889 3615380 4541270 5061532 6326915 6357778 9082540 12653830 12715556 15894445 18619207 25307660 31788890 37238414 63577780 74476828 93096035 130334449 186192070 260668898 372384140 521337796 651672245 1303344490 2606688980