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2490679180 = 22511171374861
BaseRepresentation
bin1001010001110100…
…1011111110001100
320102120122121112001
42110131023332030
520100103213210
61051051522044
7115502265223
oct22435137614
96376577461
102490679180
111068a18150
12596159324
13309017a82
14198b05cba
15e89d903a
hex9474bf8c

2490679180 has 96 divisors (see below), whose sum is σ = 6086912832. Its totient is φ = 846028800.

The previous prime is 2490679157. The next prime is 2490679207. The reversal of 2490679180 is 819760942.

It is a self number, because there is not a number n which added to its sum of digits gives 2490679180.

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 31 ways as a sum of consecutive naturals, for example, 509950 + ... + 514810.

It is an arithmetic number, because the mean of its divisors is an integer number (63405342).

Almost surely, 22490679180 is an apocalyptic number.

2490679180 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 2490679180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043456416).

2490679180 is an abundant number, since it is smaller than the sum of its proper divisors (3596233652).

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

2490679180 is a wasteful number, since it uses less digits than its factorization.

2490679180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 2490679180 is about 49906.7047599819. The cubic root of 2490679180 is about 1355.5200012124.

The spelling of 2490679180 in words is "two billion, four hundred ninety million, six hundred seventy-nine thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 137 170 187 220 274 340 374 548 685 748 935 1370 1507 1870 2329 2740 3014 3740 4658 4861 6028 7535 9316 9722 11645 15070 19444 23290 24305 25619 30140 46580 48610 51238 53471 82637 97220 102476 106942 128095 165274 213884 256190 267355 330548 413185 512380 534710 665957 826370 909007 1069420 1331914 1652740 1818014 2663828 3329785 3636028 4545035 6659570 7325527 9090070 11321269 13319140 14651054 18180140 22642538 29302108 36627635 45285076 56606345 73255270 113212690 124533959 146510540 226425380 249067918 498135836 622669795 1245339590 2490679180