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2074832640 = 28325389463
BaseRepresentation
bin111101110101011…
…0110111100000000
312100121011102022100
41323222312330000
513222124121030
6541514510400
7102262533516
oct17352667400
95317142270
102074832640
11975209521
1249aa35400
13270b1872a
141597b84b6
15c2245360
hex7bab6f00

2074832640 has 216 divisors, whose sum is σ = 7212703680. Its totient is φ = 550674432.

The previous prime is 2074832633. The next prime is 2074832647. The reversal of 2074832640 is 462384702.

2074832640 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 8 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2074832633) and next prime (2074832647).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2074832595 and 2074832604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074832647) 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 23 ways as a sum of consecutive naturals, for example, 4481049 + ... + 4481511.

Almost surely, 22074832640 is an apocalyptic number.

2074832640 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 2074832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606351840).

2074832640 is an abundant number, since it is smaller than the sum of its proper divisors (5137871040).

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

2074832640 is a wasteful number, since it uses less digits than its factorization.

2074832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2074832640 is about 45550.3308440235. The cubic root of 2074832640 is about 1275.4429095614.

The spelling of 2074832640 in words is "two billion, seventy-four million, eight hundred thirty-two thousand, six hundred forty".