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2681780244 = 22311133134993
BaseRepresentation
bin1001111111011000…
…1011100000010100
320220220020112220020
42133312023200110
520443013431434
61122035505140
7123312520203
oct23766134024
96826215806
102681780244
111156882210
1262a1581b0
133397a7720
141b624d23a
1510a686849
hex9fd8b814

2681780244 has 96 divisors (see below), whose sum is σ = 7376417664. Its totient is φ = 747601920.

The previous prime is 2681780207. The next prime is 2681780273. The reversal of 2681780244 is 4420871862.

2681780244 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 junction number, because it is equal to n+sod(n) for n = 2681780196 and 2681780205.

It is a congruent number.

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, 534612 + ... + 539604.

It is an arithmetic number, because the mean of its divisors is an integer number (76837684).

Almost surely, 22681780244 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 2681780244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3688208832).

2681780244 is an abundant number, since it is smaller than the sum of its proper divisors (4694637420).

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

2681780244 is a wasteful number, since it uses less digits than its factorization.

2681780244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 2681780244 is about 51785.9077742198. The cubic root of 2681780244 is about 1389.3374072321.

The spelling of 2681780244 in words is "two billion, six hundred eighty-one million, seven hundred eighty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 313 429 572 626 858 939 1252 1716 1878 3443 3756 4069 4993 6886 8138 9986 10329 12207 13772 14979 16276 19972 20658 24414 29958 41316 44759 48828 54923 59916 64909 89518 109846 129818 134277 164769 179036 194727 219692 259636 268554 329538 389454 537108 659076 713999 778908 1427998 1562809 2141997 2855996 3125618 4283994 4688427 6251236 8567988 9376854 17190899 18753708 20316517 34381798 40633034 51572697 60949551 68763596 81266068 103145394 121899102 206290788 223481687 243798204 446963374 670445061 893926748 1340890122 2681780244