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2640260040 = 23351112831559
BaseRepresentation
bin1001110101011111…
…0010101111001000
320211000010002212220
42131113302233020
520401401310130
61113553534040
7122266561065
oct23527625710
96730102786
102640260040
1111353a34a0
12618274320
13330ccac62
141b0921c6c
15106bd4410
hex9d5f2bc8

2640260040 has 128 divisors (see below), whose sum is σ = 8653132800. Its totient is φ = 639153920.

The previous prime is 2640260039. The next prime is 2640260069. The reversal of 2640260040 is 400620462.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1692781 + ... + 1694339.

It is an arithmetic number, because the mean of its divisors is an integer number (67602600).

Almost surely, 22640260040 is an apocalyptic number.

2640260040 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 2640260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4326566400).

2640260040 is an abundant number, since it is smaller than the sum of its proper divisors (6012872760).

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

2640260040 is a wasteful number, since it uses less digits than its factorization.

2640260040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2867 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2640260040 is about 51383.4607631678. The cubic root of 2640260040 is about 1382.1300229583.

The spelling of 2640260040 in words is "two billion, six hundred forty million, two hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1283 1320 1559 2566 3118 3849 4677 5132 6236 6415 7698 7795 9354 10264 12472 12830 14113 15396 15590 17149 18708 19245 23385 25660 28226 30792 31180 34298 37416 38490 42339 46770 51320 51447 56452 62360 68596 70565 76980 84678 85745 93540 102894 112904 137192 141130 153960 169356 171490 187080 205788 211695 257235 282260 338712 342980 411576 423390 514470 564520 685960 846780 1028940 1693560 2000197 2057880 4000394 6000591 8000788 10000985 12001182 16001576 20001970 22002167 24002364 30002955 40003940 44004334 48004728 60005910 66006501 80007880 88008668 110010835 120011820 132013002 176017336 220021670 240023640 264026004 330032505 440043340 528052008 660065010 880086680 1320130020 2640260040