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2129992080 = 243560114767
BaseRepresentation
bin111111011110101…
…0001100110010000
312111102221210211120
41332331101212100
513330234221310
6551205042240
7103532430306
oct17675214620
95442853746
102129992080
119a3363637
124b53b6380
1327c38c358
14162c56276
15c6eddb70
hex7ef51990

2129992080 has 80 divisors (see below), whose sum is σ = 6614409984. Its totient is φ = 567014400.

The previous prime is 2129992079. The next prime is 2129992091. The reversal of 2129992080 is 802999212.

It is a happy number.

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

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136857 + ... + 151623.

Almost surely, 22129992080 is an apocalyptic number.

2129992080 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 2129992080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307204992).

2129992080 is an abundant number, since it is smaller than the sum of its proper divisors (4484417904).

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

2129992080 is a wasteful number, since it uses less digits than its factorization.

2129992080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15384 (or 15378 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 2129992080 is about 46151.8372332023. The cubic root of 2129992080 is about 1286.6467565027.

The spelling of 2129992080 in words is "two billion, one hundred twenty-nine million, nine hundred ninety-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 601 1202 1803 2404 3005 3606 4808 6010 7212 9015 9616 12020 14424 14767 18030 24040 28848 29534 36060 44301 48080 59068 72120 73835 88602 118136 144240 147670 177204 221505 236272 295340 354408 443010 590680 708816 886020 1181360 1772040 3544080 8874967 17749934 26624901 35499868 44374835 53249802 70999736 88749670 106499604 133124505 141999472 177499340 212999208 266249010 354998680 425998416 532498020 709997360 1064996040 2129992080