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2074321680 = 243515755051
BaseRepresentation
bin111101110100011…
…1010001100010000
312100120012110101220
41323220322030100
513222011243210
6541455525040
7102255305034
oct17350721420
95316173356
102074321680
1197499a642
1249a829780
13270999ca2
141596c41c4
15c2193c70
hex7ba3a310

2074321680 has 80 divisors (see below), whose sum is σ = 6471472704. Its totient is φ = 549619200.

The previous prime is 2074321663. The next prime is 2074321681. The reversal of 2074321680 is 861234702.

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 (2074321681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10155 + ... + 65205.

Almost surely, 22074321680 is an apocalyptic number.

2074321680 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 2074321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235736352).

2074321680 is an abundant number, since it is smaller than the sum of its proper divisors (4397151024).

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

2074321680 is a wasteful number, since it uses less digits than its factorization.

2074321680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55224 (or 55218 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2074321680 is about 45544.7217578503. The cubic root of 2074321680 is about 1275.3382017083.

The spelling of 2074321680 in words is "two billion, seventy-four million, three hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 240 314 471 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 6280 7536 9420 12560 18840 37680 55051 110102 165153 220204 275255 330306 440408 550510 660612 825765 880816 1101020 1321224 1651530 2202040 2642448 3303060 4404080 6606120 8643007 13212240 17286014 25929021 34572028 43215035 51858042 69144056 86430070 103716084 129645105 138288112 172860140 207432168 259290210 345720280 414864336 518580420 691440560 1037160840 2074321680