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2071440000 = 2733547137
BaseRepresentation
bin111101101110111…
…1010101010000000
312100100210001111000
41323131322222000
513220242040000
6541314052000
7102221643450
oct17335725200
95310701430
102071440000
11973301593
1249987a000
132701cb456
14159173d60
15c1cc5000
hex7b77aa80

2071440000 has 640 divisors, whose sum is σ = 8794684800. Its totient is φ = 470016000.

The previous prime is 2071439971. The next prime is 2071440011. The reversal of 2071440000 is 441702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 15119932 + ... + 15120068.

It is an arithmetic number, because the mean of its divisors is an integer number (13741695).

Almost surely, 22071440000 is an apocalyptic number.

2071440000 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 2071440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4397342400).

2071440000 is an abundant number, since it is smaller than the sum of its proper divisors (6723244800).

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

2071440000 is an equidigital number, since it uses as much as digits as its factorization.

2071440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2071440000 is about 45513.0750444309. The cubic root of 2071440000 is about 1274.7473547852.

Adding to 2071440000 its reverse (441702), we get a palindrome (2071881702).

The spelling of 2071440000 in words is "two billion, seventy-one million, four hundred forty thousand".