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2482211980 = 2252343671873
BaseRepresentation
bin1001001111110011…
…1000110010001100
320101222201102201001
42103330320302030
520040421240410
61050150230044
7115340311423
oct22374706214
96358642631
102482211980
111064164666
12593355324
13307341ab1
141979402ba
15e7db533a
hex93f38c8c

2482211980 has 96 divisors (see below), whose sum is σ = 5651864064. Its totient is φ = 913296384.

The previous prime is 2482211947. The next prime is 2482211981. The reversal of 2482211980 is 891122842.

It is a happy number.

2482211980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24822119802 = 12322752627311040800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2482211981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1324324 + ... + 1326196.

It is an arithmetic number, because the mean of its divisors is an integer number (58873584).

Almost surely, 22482211980 is an apocalyptic number.

2482211980 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 2482211980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825932032).

2482211980 is an abundant number, since it is smaller than the sum of its proper divisors (3169652084).

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

2482211980 is a wasteful number, since it uses less digits than its factorization.

2482211980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 2482211980 is about 49821.8022556390. The cubic root of 2482211980 is about 1353.9822025069.

The spelling of 2482211980 in words is "two billion, four hundred eighty-two million, two hundred eleven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 23 43 46 67 86 92 115 134 172 215 230 268 335 430 460 670 860 989 1340 1541 1873 1978 2881 3082 3746 3956 4945 5762 6164 7492 7705 9365 9890 11524 14405 15410 18730 19780 28810 30820 37460 43079 57620 66263 80539 86158 125491 132526 161078 172316 215395 250982 265052 322156 331315 402695 430790 501964 627455 662630 805390 861580 1254910 1325260 1610780 1852397 2509820 2886293 3704794 5396113 5772586 7409588 9261985 10792226 11545172 14431465 18523970 21584452 26980565 28862930 37047940 53961130 57725860 107922260 124110599 248221198 496442396 620552995 1241105990 2482211980