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2280748864 = 26312814091
BaseRepresentation
bin1000011111110001…
…0111011101000000
312212221122001021011
42013330113131000
514132332430424
61014152210304
7110343021412
oct20774273500
95787561234
102280748864
11a70472419
12537999994
132a4694854
14178c9a9b2
15d536c694
hex87f17740

2280748864 has 56 divisors (see below), whose sum is σ = 4689628416. Its totient is φ = 1099392000.

The previous prime is 2280748859. The next prime is 2280748909. The reversal of 2280748864 is 4688470822.

2280748864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555459 + ... + 559549.

Almost surely, 22280748864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2280748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2344814208).

2280748864 is an abundant number, since it is smaller than the sum of its proper divisors (2408879552).

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

2280748864 is a wasteful number, since it uses less digits than its factorization.

2280748864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 49.

The square root of 2280748864 is about 47757.1865167956. The cubic root of 2280748864 is about 1316.3129554455.

The spelling of 2280748864 in words is "two billion, two hundred eighty million, seven hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 281 496 562 992 1124 1984 2248 4091 4496 8182 8711 8992 16364 17422 17984 32728 34844 65456 69688 126821 130912 139376 253642 261824 278752 507284 557504 1014568 1149571 2029136 2299142 4058272 4598284 8116544 9196568 18393136 35636701 36786272 71273402 73572544 142546804 285093608 570187216 1140374432 2280748864