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2191042480 = 245112639467
BaseRepresentation
bin1000001010011000…
…1010011110110000
312122200211111020111
42002212022132300
513441401324410
61001225351104
7105203360644
oct20246123660
95580744214
102191042480
11a24871710
12511938494
1328bc16453
1416adc8c24
15cc54cb8a
hex8298a7b0

2191042480 has 80 divisors (see below), whose sum is σ = 5579000064. Its totient is φ = 793629440.

The previous prime is 2191042457. The next prime is 2191042489. The reversal of 2191042480 is 842401912.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2191042489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226707 + ... + 236173.

Almost surely, 22191042480 is an apocalyptic number.

2191042480 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 2191042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789500032).

2191042480 is an abundant number, since it is smaller than the sum of its proper divisors (3387957584).

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

2191042480 is a wasteful number, since it uses less digits than its factorization.

2191042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9754 (or 9748 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 2191042480 is about 46808.5727191078. The cubic root of 2191042480 is about 1298.8238830271.

The spelling of 2191042480 in words is "two billion, one hundred ninety-one million, forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 263 440 526 880 1052 1315 2104 2630 2893 4208 5260 5786 9467 10520 11572 14465 18934 21040 23144 28930 37868 46288 47335 57860 75736 94670 104137 115720 151472 189340 208274 231440 378680 416548 520685 757360 833096 1041370 1666192 2082740 2489821 4165480 4979642 8330960 9959284 12449105 19918568 24898210 27388031 39837136 49796420 54776062 99592840 109552124 136940155 199185680 219104248 273880310 438208496 547760620 1095521240 2191042480