Search a number
-
+
2081784480 = 25354337051
BaseRepresentation
bin111110000010101…
…1000001010100000
312101002020121102220
41330011120022200
513230414100410
6542323511040
7102405606336
oct17405301240
95332217386
102081784480
11979127546
124a1228480
132723b0a49
1415a6a7b56
15c2b6a070
hex7c1582a0

2081784480 has 48 divisors (see below), whose sum is σ = 6557622624. Its totient is φ = 555142400.

The previous prime is 2081784479. The next prime is 2081784491. The reversal of 2081784480 is 844871802.

2081784480 is digitally balanced in base 6, because in such base 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 an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2168046 + ... + 2169005.

It is an arithmetic number, because the mean of its divisors is an integer number (136617138).

Almost surely, 22081784480 is an apocalyptic number.

2081784480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2081784480 is an abundant number, since it is smaller than the sum of its proper divisors (4475838144).

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

2081784480 is a wasteful number, since it uses less digits than its factorization.

2081784480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337069 (or 4337061 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 2081784480 is about 45626.5764659151. The cubic root of 2081784480 is about 1276.8658019429.

The spelling of 2081784480 in words is "two billion, eighty-one million, seven hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4337051 8674102 13011153 17348204 21685255 26022306 34696408 43370510 52044612 65055765 69392816 86741020 104089224 130111530 138785632 173482040 208178448 260223060 346964080 416356896 520446120 693928160 1040892240 2081784480