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2380080864 = 25373541787
BaseRepresentation
bin1000110111011101…
…0010011011100000
320010212112122011010
42031313102123200
514333300041424
61032101220520
7112660232160
oct21567223340
96125478133
102380080864
111011547a87
12565101740
132bc133295
141881565a0
15dde3e229
hex8ddd26e0

2380080864 has 48 divisors (see below), whose sum is σ = 7140244608. Its totient is φ = 680022912.

The previous prime is 2380080863. The next prime is 2380080881. The reversal of 2380080864 is 4680800832.

2380080864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2380080863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1770222 + ... + 1771565.

It is an arithmetic number, because the mean of its divisors is an integer number (148755096).

Almost surely, 22380080864 is an apocalyptic number.

2380080864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2380080864 is an abundant number, since it is smaller than the sum of its proper divisors (4760163744).

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

2380080864 is a wasteful number, since it uses less digits than its factorization.

2380080864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541807 (or 3541799 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 2380080864 is about 48786.0724387606. The cubic root of 2380080864 is about 1335.1515702726.

The spelling of 2380080864 in words is "two billion, three hundred eighty million, eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3541787 7083574 10625361 14167148 21250722 24792509 28334296 42501444 49585018 56668592 74377527 85002888 99170036 113337184 148755054 170005776 198340072 297510108 340011552 396680144 595020216 793360288 1190040432 2380080864