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2079939960 = 2332576797127
BaseRepresentation
bin111101111111001…
…0101110101111000
312100221202220020100
41323332111311320
513224431034320
6542220155400
7102354124620
oct17376256570
95327686210
102079939960
1197808774a
124a0698b60
13271bb6307
1415a347880
15c2903790
hex7bf95d78

2079939960 has 384 divisors, whose sum is σ = 7984005120. Its totient is φ = 459841536.

The previous prime is 2079939949. The next prime is 2079939977. The reversal of 2079939960 is 699399702.

It is a junction number, because it is equal to n+sod(n) for n = 2079939897 and 2079939906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16377417 + ... + 16377543.

It is an arithmetic number, because the mean of its divisors is an integer number (20791680).

Almost surely, 22079939960 is an apocalyptic number.

2079939960 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 2079939960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992002560).

2079939960 is an abundant number, since it is smaller than the sum of its proper divisors (5904065160).

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

2079939960 is a wasteful number, since it uses less digits than its factorization.

2079939960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The square root of 2079939960 is about 45606.3587671719. The cubic root of 2079939960 is about 1276.4885774244.

The spelling of 2079939960 in words is "two billion, seventy-nine million, nine hundred thirty-nine thousand, nine hundred sixty".