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2664067860 = 223355239433
BaseRepresentation
bin1001111011001010…
…0111001100010100
320212122220200002000
42132302213030110
520424000132420
61120204115300
7123006126456
oct23662471424
96778820060
102664067860
111147884683
12624235b30
13335c1561c
141b3b5c2d6
15108d38690
hex9eca7314

2664067860 has 96 divisors (see below), whose sum is σ = 8304938880. Its totient is φ = 708984576.

The previous prime is 2664067853. The next prime is 2664067871. The reversal of 2664067860 is 687604662.

2664067860 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277704 + ... + 287136.

It is an arithmetic number, because the mean of its divisors is an integer number (86509780).

Almost surely, 22664067860 is an apocalyptic number.

2664067860 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 2664067860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4152469440).

2664067860 is an abundant number, since it is smaller than the sum of its proper divisors (5640871020).

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

2664067860 is a wasteful number, since it uses less digits than its factorization.

2664067860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9974 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2664067860 is about 51614.6089784666. The cubic root of 2664067860 is about 1386.2719243083.

The spelling of 2664067860 in words is "two billion, six hundred sixty-four million, sixty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 523 540 1046 1569 2092 2615 3138 4707 5230 6276 7845 9414 9433 10460 14121 15690 18828 18866 23535 28242 28299 31380 37732 47070 47165 56484 56598 70605 84897 94140 94330 113196 141210 141495 169794 188660 254691 282420 282990 339588 424485 509382 565980 848970 1018764 1273455 1697940 2546910 4933459 5093820 9866918 14800377 19733836 24667295 29600754 44401131 49334590 59201508 74001885 88802262 98669180 133203393 148003770 177604524 222005655 266406786 296007540 444011310 532813572 666016965 888022620 1332033930 2664067860