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2680530384 = 243713160899
BaseRepresentation
bin1001111111000101…
…1010010111010000
320220210220001102010
42133301122113100
520442203433014
61121553022520
7123266063250
oct23761322720
96823801363
102680530384
1111560a9174
12629854a40
1333945a86c
141b6005960
1510a4db359
hex9fc5a5d0

2680530384 has 80 divisors (see below), whose sum is σ = 7974489600. Its totient is φ = 760007040.

The previous prime is 2680530383. The next prime is 2680530389. The reversal of 2680530384 is 4830350862.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680530383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13567 + ... + 74465.

It is an arithmetic number, because the mean of its divisors is an integer number (99681120).

Almost surely, 22680530384 is an apocalyptic number.

2680530384 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 2680530384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987244800).

2680530384 is an abundant number, since it is smaller than the sum of its proper divisors (5293959216).

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

2680530384 is a wasteful number, since it uses less digits than its factorization.

2680530384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61048 (or 61042 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2680530384 is about 51773.8387991464. The cubic root of 2680530384 is about 1389.1215373087.

The spelling of 2680530384 in words is "two billion, six hundred eighty million, five hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 131 168 262 336 393 524 786 917 1048 1572 1834 2096 2751 3144 3668 5502 6288 7336 11004 14672 22008 44016 60899 121798 182697 243596 365394 426293 487192 730788 852586 974384 1278879 1461576 1705172 2557758 2923152 3410344 5115516 6820688 7977769 10231032 15955538 20462064 23933307 31911076 47866614 55844383 63822152 95733228 111688766 127644304 167533149 191466456 223377532 335066298 382932912 446755064 670132596 893510128 1340265192 2680530384