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2580607380 = 2235134770393
BaseRepresentation
bin1001100111010000…
…1111000110010100
320122211212102211010
42121310033012110
520241113414010
61104023212220
7120643541451
oct23164170624
96584772733
102580607380
11110475a57a
126002a7070
13321843120
141a6a34828
1510184e620
hex99d0f194

2580607380 has 96 divisors (see below), whose sum is σ = 7947201024. Its totient is φ = 621702144.

The previous prime is 2580607357. The next prime is 2580607399. The reversal of 2580607380 is 837060852.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1464 + ... + 71856.

It is an arithmetic number, because the mean of its divisors is an integer number (82783344).

Almost surely, 22580607380 is an apocalyptic number.

2580607380 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 2580607380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973600512).

2580607380 is an abundant number, since it is smaller than the sum of its proper divisors (5366593644).

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

2580607380 is a wasteful number, since it uses less digits than its factorization.

2580607380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70465 (or 70463 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2580607380 is about 50799.6789359933. The cubic root of 2580607380 is about 1371.6415898339.

It can be divided in two parts, 2580 and 607380, that added together give a triangular number (609960 = T1104).

The spelling of 2580607380 in words is "two billion, five hundred eighty million, six hundred seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 611 705 780 940 1222 1410 1833 2444 2820 3055 3666 6110 7332 9165 12220 18330 36660 70393 140786 211179 281572 351965 422358 703930 844716 915109 1055895 1407860 1830218 2111790 2745327 3308471 3660436 4223580 4575545 5490654 6616942 9151090 9925413 10981308 13233884 13726635 16542355 18302180 19850826 27453270 33084710 39701652 43010123 49627065 54906540 66169420 86020246 99254130 129030369 172040492 198508260 215050615 258060738 430101230 516121476 645151845 860202460 1290303690 2580607380