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2086261920 = 25355232333
BaseRepresentation
bin111110001011001…
…1101010010100000
312101101200002100000
41330112131102200
513233040340140
6543003500000
7102461635161
oct17426352240
95341602300
102086261920
11980705506
124a2827600
132732baa12
1415b111768
15c3251a30
hex7c59d4a0

2086261920 has 288 divisors, whose sum is σ = 7707353472. Its totient is φ = 531919872.

The previous prime is 2086261907. The next prime is 2086261937. The reversal of 2086261920 is 291626802.

It is a happy number.

2086261920 is a `hidden beast` number, since 2 + 0 + 8 + 626 + 1 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893074 + ... + 895406.

It is an arithmetic number, because the mean of its divisors is an integer number (26761644).

Almost surely, 22086261920 is an apocalyptic number.

2086261920 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 2086261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853676736).

2086261920 is an abundant number, since it is smaller than the sum of its proper divisors (5621091552).

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

2086261920 is a wasteful number, since it uses less digits than its factorization.

2086261920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2086261920 is about 45675.6162520004. The cubic root of 2086261920 is about 1277.7805614110.

The spelling of 2086261920 in words is "two billion, eighty-six million, two hundred sixty-one thousand, nine hundred twenty".