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2782213980 = 2235713509563
BaseRepresentation
bin1010010111010101…
…0011011101011100
321011220020010002020
42211311103131130
521144221321410
61140024300140
7125642300010
oct24565233534
97156203066
102782213980
1111a853a5a7
12657911650
13354540780
141c5714540
151143c4a70
hexa5d5375c

2782213980 has 96 divisors (see below), whose sum is σ = 9587956224. Its totient is φ = 587015424.

The previous prime is 2782213963. The next prime is 2782213981. The reversal of 2782213980 is 893122872.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2782213981) 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, 249322 + ... + 260241.

It is an arithmetic number, because the mean of its divisors is an integer number (99874544).

Almost surely, 22782213980 is an apocalyptic number.

2782213980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2782213980 is an abundant number, since it is smaller than the sum of its proper divisors (6805742244).

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

2782213980 is a wasteful number, since it uses less digits than its factorization.

2782213980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509595 (or 509593 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2782213980 is about 52746.6963894422. The cubic root of 2782213980 is about 1406.4690383942.

The spelling of 2782213980 in words is "two billion, seven hundred eighty-two million, two hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 509563 1019126 1528689 2038252 2547815 3057378 3566941 5095630 6114756 6624319 7133882 7643445 10191260 10700823 13248638 14267764 15286890 17834705 19872957 21401646 26497276 30573780 33121595 35669410 39745914 42803292 46370233 53504115 66243190 71338820 79491828 92740466 99364785 107008230 132486380 139110699 185480932 198729570 214016460 231851165 278221398 397459140 463702330 556442796 695553495 927404660 1391106990 2782213980