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2986422880 = 255717315413
BaseRepresentation
bin1011001000000001…
…0011001001100000
321201010111000000211
42302000103021200
522104011013010
61212201223504
7134002114150
oct26200231140
97633430024
102986422880
1112a2837791
126b4191b94
1338793c73c
142048b0760
151272b108a
hexb2013260

2986422880 has 96 divisors (see below), whose sum is σ = 8110476864. Its totient is φ = 1017931776.

The previous prime is 2986422877. The next prime is 2986422889. The reversal of 2986422880 is 882246892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2986422889) 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, 186054 + ... + 201466.

It is an arithmetic number, because the mean of its divisors is an integer number (84484134).

Almost surely, 22986422880 is an apocalyptic number.

2986422880 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 2986422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055238432).

2986422880 is an abundant number, since it is smaller than the sum of its proper divisors (5124053984).

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

2986422880 is a wasteful number, since it uses less digits than its factorization.

2986422880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15608 (or 15600 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

The square root of 2986422880 is about 54648.1736199848. The cubic root of 2986422880 is about 1440.0705469553.

The spelling of 2986422880 in words is "two billion, nine hundred eighty-six million, four hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 173 224 280 346 560 692 865 1120 1211 1384 1730 2422 2768 3460 4844 5536 6055 6920 9688 12110 13840 15413 19376 24220 27680 30826 38752 48440 61652 77065 96880 107891 123304 154130 193760 215782 246608 308260 431564 493216 539455 616520 863128 1078910 1233040 1726256 2157820 2466080 2666449 3452512 4315640 5332898 8631280 10665796 13332245 17262560 18665143 21331592 26664490 37330286 42663184 53328980 74660572 85326368 93325715 106657960 149321144 186651430 213315920 298642288 373302860 426631840 597284576 746605720 1493211440 2986422880