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2781058820 = 2252911342433
BaseRepresentation
bin1010010111000011…
…1001011100000100
321011211001102111112
42211300321130010
521143422340240
61135543424152
7125626416131
oct24560713404
97154042445
102781058820
1111a7920721
12657455058
13354227a47
141c54d3588
15114247665
hexa5c39704

2781058820 has 48 divisors (see below), whose sum is σ = 6095219760. Its totient is φ = 1064534016.

The previous prime is 2781058817. The next prime is 2781058837. The reversal of 2781058820 is 288501872.

It can be written as a sum of positive squares in 8 ways, for example, as 325658116 + 2455400704 = 18046^2 + 49552^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44324 + ... + 86756.

It is an arithmetic number, because the mean of its divisors is an integer number (126983745).

Almost surely, 22781058820 is an apocalyptic number.

2781058820 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 2781058820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047609880).

2781058820 is an abundant number, since it is smaller than the sum of its proper divisors (3314160940).

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

2781058820 is a wasteful number, since it uses less digits than its factorization.

2781058820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42584 (or 42582 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 41.

The square root of 2781058820 is about 52735.7451829402. The cubic root of 2781058820 is about 1406.2743587023.

The spelling of 2781058820 in words is "two billion, seven hundred eighty-one million, fifty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 113 116 145 226 290 452 565 580 1130 2260 3277 6554 13108 16385 32770 42433 65540 84866 169732 212165 424330 848660 1230557 2461114 4794929 4922228 6152785 9589858 12305570 19179716 23974645 24611140 47949290 95898580 139052941 278105882 556211764 695264705 1390529410 2781058820