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2010628880 = 2451311811637
BaseRepresentation
bin111011111010111…
…1100001100010000
312012010100112022022
41313311330030100
513104210111010
6531302431012
7100553030531
oct16765741420
95163315268
102010628880
11941a47267
12481432468
13260729240
14151064688
15bb7b1d55
hex77d7c310

2010628880 has 80 divisors (see below), whose sum is σ = 5041646064. Its totient is φ = 741304320.

The previous prime is 2010628871. The next prime is 2010628883. The reversal of 2010628880 is 888260102.

It can be written as a sum of positive squares in 8 ways, for example, as 204718864 + 1805910016 = 14308^2 + 42496^2 .

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 2010628880.

It is not an unprimeable number, because it can be changed into a prime (2010628883) 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, 1227422 + ... + 1229058.

Almost surely, 22010628880 is an apocalyptic number.

2010628880 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 2010628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520823032).

2010628880 is an abundant number, since it is smaller than the sum of its proper divisors (3031017184).

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

2010628880 is a wasteful number, since it uses less digits than its factorization.

2010628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 2010628880 is about 44840.0365744721. The cubic root of 2010628880 is about 1262.1490326582.

Adding to 2010628880 its reverse (888260102), we get a palindrome (2898888982).

The spelling of 2010628880 in words is "two billion, ten million, six hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1181 1637 2362 3274 4724 5905 6548 8185 9448 11810 13096 15353 16370 18896 21281 23620 26192 30706 32740 42562 47240 61412 65480 76765 85124 94480 106405 122824 130960 153530 170248 212810 245648 307060 340496 425620 614120 851240 1228240 1702480 1933297 3866594 7733188 9666485 15466376 19332970 25132861 30932752 38665940 50265722 77331880 100531444 125664305 154663760 201062888 251328610 402125776 502657220 1005314440 2010628880