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2630731840 = 265115231429
BaseRepresentation
bin1001110011001101…
…1100100001000000
320210100012000122121
42130303130201000
520341431404330
61113013414024
7122122565062
oct23463344100
96710160577
102630731840
11112aa85850
1261503a314
1332c043079
141ad561732
15105e5117a
hex9ccdc840

2630731840 has 112 divisors (see below), whose sum is σ = 6851782080. Its totient is φ = 954132480.

The previous prime is 2630731801. The next prime is 2630731841. The reversal of 2630731840 is 481370362.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2630731796 and 2630731805.

It is not an unprimeable number, because it can be changed into a prime (2630731841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1840246 + ... + 1841674.

Almost surely, 22630731840 is an apocalyptic number.

2630731840 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 2630731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425891040).

2630731840 is an abundant number, since it is smaller than the sum of its proper divisors (4221050240).

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

2630731840 is a wasteful number, since it uses less digits than its factorization.

2630731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 2630731840 is about 51290.6603583927. The cubic root of 2630731840 is about 1380.4654034820.

The spelling of 2630731840 in words is "two billion, six hundred thirty million, seven hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 523 704 880 1046 1429 1760 2092 2615 2858 3520 4184 5230 5716 5753 7145 8368 10460 11432 11506 14290 15719 16736 20920 22864 23012 28580 28765 31438 33472 41840 45728 46024 57160 57530 62876 78595 83680 91456 92048 114320 115060 125752 157190 167360 184096 228640 230120 251504 314380 368192 457280 460240 503008 628760 747367 920480 1006016 1257520 1494734 1840960 2515040 2989468 3736835 5030080 5978936 7473670 8221037 11957872 14947340 16442074 23915744 29894680 32884148 41105185 47831488 59789360 65768296 82210370 119578720 131536592 164420740 239157440 263073184 328841480 526146368 657682960 1315365920 2630731840