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2066261120 = 275711231823
BaseRepresentation
bin111101100101000…
…1010010010000000
312100000000221101122
41323022022102000
513212430323440
6541011051412
7102126633620
oct17312122200
95300027348
102066261120
11970394620
12497ba0b68
1326c107121
141585c6880
15c16007b5
hex7b28a480

2066261120 has 256 divisors, whose sum is σ = 6429818880. Its totient is φ = 615690240.

The previous prime is 2066261101. The next prime is 2066261129. The reversal of 2066261120 is 211626602.

It is a self number, because there is not a number n which added to its sum of digits gives 2066261120.

It is not an unprimeable number, because it can be changed into a prime (2066261129) 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, 1132529 + ... + 1134351.

It is an arithmetic number, because the mean of its divisors is an integer number (25116480).

Almost surely, 22066261120 is an apocalyptic number.

2066261120 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 2066261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214909440).

2066261120 is an abundant number, since it is smaller than the sum of its proper divisors (4363557760).

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

2066261120 is a wasteful number, since it uses less digits than its factorization.

2066261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 2066261120 is about 45456.1450191281. The cubic root of 2066261120 is about 1273.6841213176.

Adding to 2066261120 its reverse (211626602), we get a palindrome (2277887722).

The spelling of 2066261120 in words is "two billion, sixty-six million, two hundred sixty-one thousand, one hundred twenty".