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2486671020 = 22325151191479
BaseRepresentation
bin1001010000110111…
…1001011010101100
320102022002222100200
42110031321122230
520043041433040
61050425553500
7115423232511
oct22415713254
96368088320
102486671020
11106672a819
12594945890
13308243592
14198381308
15e8496630
hex943796ac

2486671020 has 144 divisors (see below), whose sum is σ = 7648542720. Its totient is φ = 653904000.

The previous prime is 2486671009. The next prime is 2486671021. The reversal of 2486671020 is 201766842.

2486671020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2486671021) 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, 5191141 + ... + 5191619.

It is an arithmetic number, because the mean of its divisors is an integer number (53114880).

Almost surely, 22486671020 is an apocalyptic number.

2486671020 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 2486671020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824271360).

2486671020 is an abundant number, since it is smaller than the sum of its proper divisors (5161871700).

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

2486671020 is a wasteful number, since it uses less digits than its factorization.

2486671020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2486671020 is about 49866.5320630982. The cubic root of 2486671020 is about 1354.7924810307.

The spelling of 2486671020 in words is "two billion, four hundred eighty-six million, six hundred seventy-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 191 302 382 453 479 573 604 755 764 906 955 958 1146 1359 1437 1510 1719 1812 1910 1916 2265 2292 2395 2718 2865 2874 3020 3438 3820 4311 4530 4790 5436 5730 5748 6795 6876 7185 8595 8622 9060 9580 11460 13590 14370 17190 17244 21555 27180 28740 28841 34380 43110 57682 72329 86220 86523 91489 115364 144205 144658 173046 182978 216987 259569 274467 288410 289316 346092 361645 365956 432615 433974 457445 519138 548934 576820 650961 723290 823401 865230 867948 914890 1038276 1084935 1097868 1297845 1301922 1372335 1446580 1646802 1730460 1829780 2169870 2595690 2603844 2744670 3254805 3293604 4117005 4339740 5191380 5489340 6509610 8234010 13019220 13814839 16468020 27629678 41444517 55259356 69074195 82889034 124333551 138148390 165778068 207222585 248667102 276296780 414445170 497334204 621667755 828890340 1243335510 2486671020