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2018404080 = 243257311743
BaseRepresentation
bin111100001001110…
…0110011011110000
312012122222112212200
41320103212123300
513113202412310
6532141223200
7101006103000
oct17023463360
95178875780
102018404080
11946377950
12483b61b00
1326221c254
141520ca000
15bc2ea9c0
hex784e66f0

2018404080 has 480 divisors, whose sum is σ = 8635161600. Its totient is φ = 418844160.

The previous prime is 2018404039. The next prime is 2018404081. The reversal of 2018404080 is 804048102.

2018404080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018404081) 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, 2716189 + ... + 2716931.

It is an arithmetic number, because the mean of its divisors is an integer number (17989920).

Almost surely, 22018404080 is an apocalyptic number.

2018404080 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 2018404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317580800).

2018404080 is an abundant number, since it is smaller than the sum of its proper divisors (6616757520).

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

2018404080 is a wasteful number, since it uses less digits than its factorization.

2018404080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2018404080 is about 44926.6522233740. The cubic root of 2018404080 is about 1263.7738706466.

It can be divided in two parts, 20 and 18404080, that added together give a square (18404100 = 42902).

The spelling of 2018404080 in words is "two billion, eighteen million, four hundred four thousand, eighty".