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2680743216 = 243971813181
BaseRepresentation
bin1001111111001000…
…1110010100110000
320220211021212100210
42133302032110300
520442232240331
61122001344120
7123300640614
oct23762162460
96824255323
102680743216
111156234068
12629938040
133395036b8
141b605d344
1510a52e446
hex9fc8e530

2680743216 has 80 divisors (see below), whose sum is σ = 7037514848. Its totient is φ = 879206400.

The previous prime is 2680743211. The next prime is 2680743217. The reversal of 2680743216 is 6123470862.

It is a happy number.

2680743216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2680743211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 841146 + ... + 844326.

Almost surely, 22680743216 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 2680743216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518757424).

2680743216 is an abundant number, since it is smaller than the sum of its proper divisors (4356771632).

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

2680743216 is a wasteful number, since it uses less digits than its factorization.

2680743216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3470 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2680743216 is about 51775.8941593479. The cubic root of 2680743216 is about 1389.1583013875.

The spelling of 2680743216 in words is "two billion, six hundred eighty million, seven hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 181 194 291 362 388 543 582 724 776 1086 1164 1448 1552 2172 2328 2896 3181 4344 4656 6362 8688 9543 12724 17557 19086 25448 35114 38172 50896 52671 70228 76344 105342 140456 152688 210684 280912 308557 421368 575761 617114 842736 925671 1151522 1234228 1727283 1851342 2303044 2468456 3454566 3702684 4606088 4936912 6909132 7405368 9212176 13818264 14810736 27636528 55848817 111697634 167546451 223395268 335092902 446790536 670185804 893581072 1340371608 2680743216