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2094990984 = 23321271971163
BaseRepresentation
bin111110011011111…
…0000011010001000
312102000002120100200
41330313300122020
513242304202414
6543514532200
7102626062302
oct17467603210
95360076320
102094990984
11985627809
124a5737060
13275055c48
1415c344972
15c3dc8109
hex7cdf0688

2094990984 has 96 divisors (see below), whose sum is σ = 5752581120. Its totient is φ = 688722048.

The previous prime is 2094990983. The next prime is 2094990991. The reversal of 2094990984 is 4890994902.

It is a self number, because there is not a number n which added to its sum of digits gives 2094990984.

It is not an unprimeable number, because it can be changed into a prime (2094990983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1800787 + ... + 1801949.

It is an arithmetic number, because the mean of its divisors is an integer number (59922720).

Almost surely, 22094990984 is an apocalyptic number.

2094990984 is a gapful number since it is divisible by the number (24) 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 2094990984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876290560).

2094990984 is an abundant number, since it is smaller than the sum of its proper divisors (3657590136).

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

2094990984 is a wasteful number, since it uses less digits than its factorization.

2094990984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 2094990984 is about 45771.0714753325. The cubic root of 2094990984 is about 1279.5601890665.

The spelling of 2094990984 in words is "two billion, ninety-four million, nine hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 197 254 381 394 508 591 762 788 1016 1143 1163 1182 1524 1576 1773 2286 2326 2364 3048 3489 3546 4572 4652 4728 6978 7092 9144 9304 10467 13956 14184 20934 25019 27912 41868 50038 75057 83736 100076 147701 150114 200152 225171 229111 295402 300228 443103 450342 458222 590804 600456 687333 886206 900684 916444 1181608 1329309 1374666 1772412 1801368 1832888 2061999 2658618 2749332 3544824 4123998 5317236 5498664 8247996 10634472 16495992 29097097 58194194 87291291 116388388 174582582 232776776 261873873 349165164 523747746 698330328 1047495492 2094990984