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2000640240 = 2432517792069
BaseRepresentation
bin111011100111111…
…0101100011110000
312011102120001110200
41313033311203300
513044130441430
6530304355200
7100402106244
oct16717654360
95142501420
102000640240
11937344695
1247a015b00
1325b63c8c1
1414d9c4424
15ba98c460
hex773f58f0

2000640240 has 240 divisors, whose sum is σ = 7207574400. Its totient is φ = 495525888.

The previous prime is 2000640227. The next prime is 2000640247. The reversal of 2000640240 is 420460002.

2000640240 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 640 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×20006402402 = 8005122739814515200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000640247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965926 + ... + 967994.

It is an arithmetic number, because the mean of its divisors is an integer number (30031560).

Almost surely, 22000640240 is an apocalyptic number.

2000640240 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 2000640240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603787200).

2000640240 is an abundant number, since it is smaller than the sum of its proper divisors (5206934160).

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

2000640240 is a wasteful number, since it uses less digits than its factorization.

2000640240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2000640240 is about 44728.5170780342. The cubic root of 2000640240 is about 1260.0554775271.

The spelling of 2000640240 in words is "two billion, six hundred forty thousand, two hundred forty".