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2594009690 = 252322937457
BaseRepresentation
bin1001101010011101…
…0111001001011010
320200210002100022222
42122213113021122
520303031302230
61105222344042
7121165501316
oct23247271132
96623070288
102594009690
111111283968
1260488b022
1332455649c
141a8722b46
15102aea6e5
hex9a9d725a

2594009690 has 96 divisors (see below), whose sum is σ = 5197182480. Its totient is φ = 930327552.

The previous prime is 2594009681. The next prime is 2594009699. The reversal of 2594009690 is 969004952.

It is an interprime number because it is at equal distance from previous prime (2594009681) and next prime (2594009699).

It can be written as a sum of positive squares in 8 ways, for example, as 2177808889 + 416200801 = 46667^2 + 20401^2 .

It is a super-2 number, since 2×25940096902 = 13457772543627792200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2594009699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5675942 + ... + 5676398.

Almost surely, 22594009690 is an apocalyptic number.

2594009690 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

2594009690 is a wasteful number, since it uses less digits than its factorization.

2594009690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 2594009690 is about 50931.4214409926. The cubic root of 2594009690 is about 1374.0120179865.

The spelling of 2594009690 in words is "two billion, five hundred ninety-four million, nine thousand, six hundred ninety".

Divisors: 1 2 5 10 23 29 37 46 58 74 115 145 185 230 290 370 457 529 667 851 914 1058 1073 1334 1702 2146 2285 2645 3335 4255 4570 5290 5365 6670 8510 10511 10730 13253 15341 16909 19573 21022 24679 26506 30682 33818 39146 49358 52555 66265 76705 84545 97865 105110 123395 132530 153410 169090 195730 241753 246790 304819 388907 483506 490361 567617 609638 777814 980722 1135234 1208765 1524095 1944535 2417530 2451805 2838085 3048190 3889070 4903610 5676170 7010837 8944861 11278303 14021674 17889722 22556606 35054185 44724305 56391515 70108370 89448610 112783030 259400969 518801938 1297004845 2594009690