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2664785980 = 2252341229617
BaseRepresentation
bin1001111011010101…
…0110100000111100
320212201021011011001
42132311112200330
520424141122410
61120231340044
7123015210223
oct23665264074
96781234131
102664785980
11114822516a
12624521624
1333610744c
141b3ca7cba
15108e2b33a
hex9ed5683c

2664785980 has 96 divisors (see below), whose sum is σ = 6017639040. Its totient is φ = 988753920.

The previous prime is 2664785971. The next prime is 2664786013. The reversal of 2664785980 is 895874662.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4318632 + ... + 4319248.

It is an arithmetic number, because the mean of its divisors is an integer number (62683740).

Almost surely, 22664785980 is an apocalyptic number.

2664785980 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 2664785980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008819520).

2664785980 is an abundant number, since it is smaller than the sum of its proper divisors (3352853060).

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

2664785980 is a wasteful number, since it uses less digits than its factorization.

2664785980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 55.

The square root of 2664785980 is about 51621.5650673243. The cubic root of 2664785980 is about 1386.3964732076.

The spelling of 2664785980 in words is "two billion, six hundred sixty-four million, seven hundred eighty-five thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 229 230 410 458 460 617 820 916 943 1145 1234 1886 2290 2468 3085 3772 4580 4715 5267 6170 9389 9430 10534 12340 14191 18778 18860 21068 25297 26335 28382 37556 46945 50594 52670 56764 70955 93890 101188 105340 126485 141293 141910 187780 215947 252970 282586 283820 431894 505940 565172 581831 706465 863788 1079735 1163662 1412930 2159470 2327324 2825860 2909155 3249739 4318940 5793013 5818310 6499478 11586026 11636620 12998956 16248695 23172052 28965065 32497390 57930130 64994780 115860260 133239299 266478598 532957196 666196495 1332392990 2664785980