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2668330080 = 253351347513
BaseRepresentation
bin1001111100001011…
…0111110001100000
320212221221012202000
42133002313301200
520431043030310
61120435324000
7123060300663
oct23702676140
96787835660
102668330080
11114a225979
12625750600
13336a78650
141b454b6da
151093cb4c0
hex9f0b7c60

2668330080 has 192 divisors, whose sum is σ = 10057763520. Its totient is φ = 656805888.

The previous prime is 2668330039. The next prime is 2668330087. The reversal of 2668330080 is 800338662.

2668330080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2668330087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32404 + ... + 79916.

It is an arithmetic number, because the mean of its divisors is an integer number (52384185).

Almost surely, 22668330080 is an apocalyptic number.

2668330080 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 2668330080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028881760).

2668330080 is an abundant number, since it is smaller than the sum of its proper divisors (7389433440).

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

2668330080 is a wasteful number, since it uses less digits than its factorization.

2668330080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47550 (or 47536 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2668330080 is about 51655.8813689206. The cubic root of 2668330080 is about 1387.0108253663.

The spelling of 2668330080 in words is "two billion, six hundred sixty-eight million, three hundred thirty thousand, eighty".