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2680859520 = 273252571811
BaseRepresentation
bin1001111111001010…
…1010101110000000
320220211111202220100
42133302222232000
520442300001040
61122004042400
7123301633653
oct23762525600
96824452810
102680859520
111156303489
12629993400
13339544611
141b608d89a
1510a553b30
hex9fcaab80

2680859520 has 192 divisors, whose sum is σ = 9298495440. Its totient is φ = 711720960.

The previous prime is 2680859491. The next prime is 2680859527. The reversal of 2680859520 is 259580862.

2680859520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2680859527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1479415 + ... + 1481225.

Almost surely, 22680859520 is an apocalyptic number.

2680859520 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 2680859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4649247720).

2680859520 is an abundant number, since it is smaller than the sum of its proper divisors (6617635920).

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

2680859520 is a wasteful number, since it uses less digits than its factorization.

2680859520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2680859520 is about 51777.0172953213. The cubic root of 2680859520 is about 1389.1783906336.

The spelling of 2680859520 in words is "two billion, six hundred eighty million, eight hundred fifty-nine thousand, five hundred twenty".