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2079320880 = 243573132967
BaseRepresentation
bin111101111101111…
…1110101100110000
312100220121110000110
41323323332230300
513224301232010
6542155021320
7102345636000
oct17373765460
95326543013
102079320880
119777a460a
124a043a840
13271a2a5b0
1415a226000
15c2830120
hex7befeb30

2079320880 has 640 divisors, whose sum is σ = 8499456000. Its totient is φ = 417263616.

The previous prime is 2079320861. The next prime is 2079320923. The reversal of 2079320880 is 880239702.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31034607 + ... + 31034673.

It is an arithmetic number, because the mean of its divisors is an integer number (13280400).

Almost surely, 22079320880 is an apocalyptic number.

2079320880 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 2079320880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249728000).

2079320880 is an abundant number, since it is smaller than the sum of its proper divisors (6420135120).

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

2079320880 is a wasteful number, since it uses less digits than its factorization.

2079320880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2079320880 is about 45599.5710506141. The cubic root of 2079320880 is about 1276.3619188059.

The spelling of 2079320880 in words is "two billion, seventy-nine million, three hundred twenty thousand, eight hundred eighty".