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2980350640 = 245194345599
BaseRepresentation
bin1011000110100100…
…1000101010110000
321200201001111111001
42301221020222300
522100432210030
61211423131344
7133566363631
oct26151105260
97621044431
102980350640
11129a36a603
126b2143b54
133865c48b7
14203b6d888
151269b1cca
hexb1a48ab0

2980350640 has 80 divisors (see below), whose sum is σ = 7463808000. Its totient is φ = 1103106816.

The previous prime is 2980350617. The next prime is 2980350661. The reversal of 2980350640 is 460530892.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2980350640.

It is an unprimeable number.

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, 42561 + ... + 88159.

It is an arithmetic number, because the mean of its divisors is an integer number (93297600).

Almost surely, 22980350640 is an apocalyptic number.

2980350640 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 2980350640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731904000).

2980350640 is an abundant number, since it is smaller than the sum of its proper divisors (4483457360).

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

2980350640 is a wasteful number, since it uses less digits than its factorization.

2980350640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45674 (or 45668 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 2980350640 is about 54592.5877752649. The cubic root of 2980350640 is about 1439.0938615047.

The spelling of 2980350640 in words is "two billion, nine hundred eighty million, three hundred fifty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 152 172 190 215 304 344 380 430 688 760 817 860 1520 1634 1720 3268 3440 4085 6536 8170 13072 16340 32680 45599 65360 91198 182396 227995 364792 455990 729584 866381 911980 1732762 1823960 1960757 3465524 3647920 3921514 4331905 6931048 7843028 8663810 9803785 13862096 15686056 17327620 19607570 31372112 34655240 37254383 39215140 69310480 74508766 78430280 149017532 156860560 186271915 298035064 372543830 596070128 745087660 1490175320 2980350640