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2012024868 = 22372173143151
BaseRepresentation
bin111011111101101…
…0001000000100100
312012012222110020120
41313323101000210
513110034243433
6531352401540
7100600633500
oct16773210044
95165873216
102012024868
11942810077
124819a62b0
13260ac7779
14151309300
15bb98a7b3
hex77ed1024

2012024868 has 288 divisors, whose sum is σ = 6148251648. Its totient is φ = 508032000.

The previous prime is 2012024867. The next prime is 2012024873. The reversal of 2012024868 is 8684202102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2012024863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13324593 + ... + 13324743.

It is an arithmetic number, because the mean of its divisors is an integer number (21348096).

Almost surely, 22012024868 is an apocalyptic number.

2012024868 is a gapful number since it is divisible by the number (28) 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 2012024868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3074125824).

2012024868 is an abundant number, since it is smaller than the sum of its proper divisors (4136226780).

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

2012024868 is a wasteful number, since it uses less digits than its factorization.

2012024868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 2012024868 is about 44855.6001854841. The cubic root of 2012024868 is about 1262.4410701899.

The spelling of 2012024868 in words is "two billion, twelve million, twenty-four thousand, eight hundred sixty-eight".