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2000002440 = 233537450451
BaseRepresentation
bin111011100110101…
…1001110110001000
312011101100122120110
41313031121312020
513044000034230
6530242554320
7100363511622
oct16715316610
95141318513
102000002440
11936a49487
124799689a0
1325b4784c7
1414d899c12
15ba8b34b0
hex77359d88

2000002440 has 64 divisors (see below), whose sum is σ = 6162183360. Its totient is φ = 518918400.

The previous prime is 2000002439. The next prime is 2000002441. The reversal of 2000002440 is 442000002.

It is an interprime number because it is at equal distance from previous prime (2000002439) and next prime (2000002441).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (2000002441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 220786 + ... + 229665.

It is an arithmetic number, because the mean of its divisors is an integer number (96284115).

Almost surely, 22000002440 is an apocalyptic number.

2000002440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000002440 is an abundant number, since it is smaller than the sum of its proper divisors (4162180920).

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

2000002440 is a wasteful number, since it uses less digits than its factorization.

2000002440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450502 (or 450498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2000002440 is about 44721.3868300168. The cubic root of 2000002440 is about 1259.9215622626.

Adding to 2000002440 its reverse (442000002), we get a palindrome (2442002442).

The spelling of 2000002440 in words is "two billion, two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 450451 900902 1351353 1801804 2252255 2702706 3603608 4504510 5405412 6756765 9009020 10810824 13513530 16666687 18018040 27027060 33333374 50000061 54054120 66666748 83333435 100000122 133333496 166666870 200000244 250000305 333333740 400000488 500000610 666667480 1000001220 2000002440