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2082740790 = 235132547751
BaseRepresentation
bin111110000100100…
…0001101000110110
312101011001012020210
41330021001220312
513231140201130
6542400210250
7102420001404
oct17411015066
95334035223
102082740790
1197971aa89
124a1609986
13272657100
1415a876474
15c2ca85b0
hex7c241a36

2082740790 has 96 divisors (see below), whose sum is σ = 5429776896. Its totient is φ = 511056000.

The previous prime is 2082740789. The next prime is 2082740791. The reversal of 2082740790 is 970472802.

It is an interprime number because it is at equal distance from previous prime (2082740789) and next prime (2082740791).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082740791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2772915 + ... + 2773665.

It is an arithmetic number, because the mean of its divisors is an integer number (56560176).

Almost surely, 22082740790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2082740790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2714888448).

2082740790 is an abundant number, since it is smaller than the sum of its proper divisors (3347036106).

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

2082740790 is a wasteful number, since it uses less digits than its factorization.

2082740790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 2082740790 is about 45637.0550101559. The cubic root of 2082740790 is about 1277.0612900956.

The spelling of 2082740790 in words is "two billion, eighty-two million, seven hundred forty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 547 751 845 1014 1094 1502 1641 1690 2253 2535 2735 3282 3755 4506 5070 5470 7111 7510 8205 9763 11265 14222 16410 19526 21333 22530 29289 35555 42666 48815 58578 71110 92443 97630 106665 126919 146445 184886 213330 253838 277329 292890 380757 410797 462215 554658 634595 761514 821594 924430 1232391 1269190 1386645 1903785 2053985 2464782 2773290 3807570 4107970 5340361 6161955 10680722 12323910 16021083 26701805 32042166 53403610 69424693 80105415 138849386 160210830 208274079 347123465 416548158 694246930 1041370395 2082740790