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2000244480 = 283513172357
BaseRepresentation
bin111011100111001…
…0100111100000000
312011101210221120220
41313032110330000
513044030310410
6530252103040
7100365540363
oct16716247400
95141727526
102000244480
119370a4313
12479a64a80
1325b531720
1414d9200da
15ba910070
hex77394f00

2000244480 has 288 divisors, whose sum is σ = 7287465024. Its totient is φ = 463208448.

The previous prime is 2000244443. The next prime is 2000244487. The reversal of 2000244480 is 844420002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2000244480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000244487) 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, 847462 + ... + 849818.

It is an arithmetic number, because the mean of its divisors is an integer number (25303698).

Almost surely, 22000244480 is an apocalyptic number.

2000244480 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 2000244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643732512).

2000244480 is an abundant number, since it is smaller than the sum of its proper divisors (5287220544).

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

2000244480 is a wasteful number, since it uses less digits than its factorization.

2000244480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2000244480 is about 44724.0928359648. The cubic root of 2000244480 is about 1259.9723853862.

Adding to 2000244480 its reverse (844420002), we get a palindrome (2844664482).

The spelling of 2000244480 in words is "two billion, two hundred forty-four thousand, four hundred eighty".