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2080449360 = 24375112347
BaseRepresentation
bin111110000000001…
…0010001101010000
312100222201210000000
41330000102031100
513230043334420
6542235130000
7102361346013
oct17400221520
95328653000
102080449360
119783a5440
124a08a3900
13272034132
1415a43b37a
15c29a4690
hex7c012350

2080449360 has 640 divisors, whose sum is σ = 8433745920. Its totient is φ = 472158720.

The previous prime is 2080449317. The next prime is 2080449367. The reversal of 2080449360 is 639440802.

It is a happy number.

2080449360 is a `hidden beast` number, since 208 + 0 + 449 + 3 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2080449367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44264857 + ... + 44264903.

It is an arithmetic number, because the mean of its divisors is an integer number (13177728).

Almost surely, 22080449360 is an apocalyptic number.

2080449360 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 2080449360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216872960).

2080449360 is an abundant number, since it is smaller than the sum of its proper divisors (6353296560).

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

2080449360 is a wasteful number, since it uses less digits than its factorization.

2080449360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2080449360 is about 45611.9431728139. The cubic root of 2080449360 is about 1276.5927775803.

The spelling of 2080449360 in words is "two billion, eighty million, four hundred forty-nine thousand, three hundred sixty".