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2374720992 = 253274432659
BaseRepresentation
bin1000110110001011…
…0101110111100000
320010111110022210100
42031202311313200
514330412032432
61031350302400
7112563536550
oct21542656740
96114408710
102374720992
111009517036
12563357a00
132baca7767
1418755d160
15dd73107c
hex8d8b5de0

2374720992 has 144 divisors (see below), whose sum is σ = 7738174080. Its totient is φ = 676705536.

The previous prime is 2374720987. The next prime is 2374721017. The reversal of 2374720992 is 2990274732.

2374720992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891759 + ... + 894417.

It is an arithmetic number, because the mean of its divisors is an integer number (53737320).

Almost surely, 22374720992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2374720992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869087040).

2374720992 is an abundant number, since it is smaller than the sum of its proper divisors (5363453088).

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

2374720992 is a wasteful number, since it uses less digits than its factorization.

2374720992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2374720992 is about 48731.1090782880. The cubic root of 2374720992 is about 1334.1485763214.

The spelling of 2374720992 in words is "two billion, three hundred seventy-four million, seven hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 443 504 672 886 1008 1329 1772 2016 2658 2659 3101 3544 3987 5316 5318 6202 7088 7974 7977 9303 10632 10636 12404 14176 15948 15954 18606 18613 21264 21272 23931 24808 27909 31896 31908 37212 37226 42528 42544 47862 49616 55818 55839 63792 63816 74424 74452 85088 95724 99232 111636 111678 127584 127632 148848 148904 167517 191448 223272 223356 255264 297696 297808 335034 382896 446544 446712 595616 670068 765792 893088 893424 1177937 1340136 1786848 2355874 2680272 3533811 4711748 5360544 7067622 8245559 9423496 10601433 14135244 16491118 18846992 21202866 24736677 28270488 32982236 37693984 42405732 49473354 56540976 65964472 74210031 84811464 98946708 113081952 131928944 148420062 169622928 197893416 263857888 296840124 339245856 395786832 593680248 791573664 1187360496 2374720992