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2080456704 = 214334703
BaseRepresentation
bin111110000000001…
…0100000000000000
312100222202011002000
41330000110000000
513230044103304
6542235224000
7102361406304
oct17400240000
95328664060
102080456704
119783aaa07
124a08a8000
13272037591
1415a43dd04
15c29a6939
hex7c014000

2080456704 has 120 divisors (see below), whose sum is σ = 6165438720. Its totient is φ = 693338112.

The previous prime is 2080456691. The next prime is 2080456733. The reversal of 2080456704 is 4076540802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 440017 + ... + 444719.

It is an arithmetic number, because the mean of its divisors is an integer number (51378656).

Almost surely, 22080456704 is an apocalyptic number.

2080456704 is a gapful number since it is divisible by the number (24) 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 2080456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082719360).

2080456704 is an abundant number, since it is smaller than the sum of its proper divisors (4084982016).

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

2080456704 is an frugal number, since it uses more digits than its factorization.

2080456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740 (or 4708 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2080456704 is about 45612.0236779733. The cubic root of 2080456704 is about 1276.5942797056.

The spelling of 2080456704 in words is "two billion, eighty million, four hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4096 4608 4703 6144 6912 8192 9216 9406 12288 13824 14109 16384 18432 18812 24576 27648 28218 36864 37624 42327 49152 55296 56436 73728 75248 84654 110592 112872 126981 147456 150496 169308 221184 225744 253962 300992 338616 442368 451488 507924 601984 677232 902976 1015848 1203968 1354464 1805952 2031696 2407936 2708928 3611904 4063392 4815872 5417856 7223808 8126784 9631744 10835712 14447616 16253568 19263488 21671424 28895232 32507136 38526976 43342848 57790464 65014272 77053952 86685696 115580928 130028544 173371392 231161856 260057088 346742784 520114176 693485568 1040228352 2080456704