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2522680080 = 24358921327
BaseRepresentation
bin1001011001011101…
…0000101100010000
320111210212102111120
42112113100230100
520131301230310
61054153442240
7116341266264
oct22627205420
96453772446
102522680080
111084a94978
125a4a10380
1331284070b
1419d0760a4
15eb70ab70
hex965d0b10

2522680080 has 120 divisors (see below), whose sum is σ = 7915124352. Its totient is φ = 664654848.

The previous prime is 2522680063. The next prime is 2522680081. The reversal of 2522680080 is 800862252.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2522680081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900377 + ... + 1901703.

Almost surely, 22522680080 is an apocalyptic number.

2522680080 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 2522680080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957562176).

2522680080 is an abundant number, since it is smaller than the sum of its proper divisors (5392444272).

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

2522680080 is a wasteful number, since it uses less digits than its factorization.

2522680080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 2522680080 is about 50226.2887340882. The cubic root of 2522680080 is about 1361.3006732008.

The spelling of 2522680080 in words is "two billion, five hundred twenty-two million, six hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1327 1335 1424 1780 2136 2654 2670 3560 3981 4272 5308 5340 6635 7120 7921 7962 10616 10680 13270 15842 15924 19905 21232 21360 23763 26540 31684 31848 39605 39810 47526 53080 63368 63696 79210 79620 95052 106160 118103 118815 126736 158420 159240 190104 236206 237630 316840 318480 354309 380208 472412 475260 590515 633680 708618 944824 950520 1181030 1417236 1771545 1889648 1901040 2362060 2834472 3543090 4724120 5668944 7086180 9448240 10511167 14172360 21022334 28344720 31533501 42044668 52555835 63067002 84089336 105111670 126134004 157667505 168178672 210223340 252268008 315335010 420446680 504536016 630670020 840893360 1261340040 2522680080