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2472479880 = 2335131983417
BaseRepresentation
bin1001001101011111…
…0000110010001000
320101022101222202220
42103113300302020
520030423324010
61045201454040
7115161506103
oct22327606210
96338358686
102472479880
111059717802
12590041320
13305315160
1419652973a
15e70e1970
hex935f0c88

2472479880 has 128 divisors (see below), whose sum is σ = 8408534400. Its totient is φ = 576571392.

The previous prime is 2472479797. The next prime is 2472479903. The reversal of 2472479880 is 889742742.

It is a super-2 number, since 2×24724798802 = 12226313514009628800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12069 + ... + 71348.

It is an arithmetic number, because the mean of its divisors is an integer number (65691675).

Almost surely, 22472479880 is an apocalyptic number.

2472479880 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 2472479880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4204267200).

2472479880 is an abundant number, since it is smaller than the sum of its proper divisors (5936054520).

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

2472479880 is a wasteful number, since it uses less digits than its factorization.

2472479880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83463 (or 83459 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 2472479880 is about 49724.0372455817. The cubic root of 2472479880 is about 1352.2103488524.

The spelling of 2472479880 in words is "two billion, four hundred seventy-two million, four hundred seventy-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 19 20 24 26 30 38 39 40 52 57 60 65 76 78 95 104 114 120 130 152 156 190 195 228 247 260 285 312 380 390 456 494 520 570 741 760 780 988 1140 1235 1482 1560 1976 2280 2470 2964 3705 4940 5928 7410 9880 14820 29640 83417 166834 250251 333668 417085 500502 667336 834170 1001004 1084421 1251255 1584923 1668340 2002008 2168842 2502510 3169846 3253263 3336680 4337684 4754769 5005020 5422105 6339692 6506526 7924615 8675368 9509538 10010040 10844210 12679384 13013052 15849230 16266315 19019076 20603999 21688420 23773845 26026104 31698460 32532630 38038152 41207998 43376840 47547690 61811997 63396920 65065260 82415996 95095380 103019995 123623994 130130520 164831992 190190760 206039990 247247988 309059985 412079980 494495976 618119970 824159960 1236239940 2472479880