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2001866980 = 225197337187
BaseRepresentation
bin111011101010010…
…0001000011100100
312011111212101020111
41313110201003210
513044434220410
6530350542404
7100415405611
oct16724410344
95144771214
102001866980
11938002323
1247a507a04
1325b97c099
1414dc23508
15bab30b8a
hex775210e4

2001866980 has 48 divisors (see below), whose sum is σ = 4431833280. Its totient is φ = 757461888.

The previous prime is 2001866953. The next prime is 2001866983. The reversal of 2001866980 is 896681002.

It is a super-2 number, since 2×20018669802 = 8014942811228640800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2001866983) 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, 274947 + ... + 282133.

It is an arithmetic number, because the mean of its divisors is an integer number (92329860).

Almost surely, 22001866980 is an apocalyptic number.

2001866980 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 2001866980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2215916640).

2001866980 is an abundant number, since it is smaller than the sum of its proper divisors (2429966300).

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

2001866980 is a wasteful number, since it uses less digits than its factorization.

2001866980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7948 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 2001866980 is about 44742.2281519372. The cubic root of 2001866980 is about 1260.3129692029.

The spelling of 2001866980 in words is "two billion, one million, eight hundred sixty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 733 1466 2932 3665 7187 7330 13927 14374 14660 27854 28748 35935 55708 69635 71870 136553 139270 143740 273106 278540 546212 682765 1365530 2731060 5268071 10536142 21072284 26340355 52680710 100093349 105361420 200186698 400373396 500466745 1000933490 2001866980