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2139920160 = 253572372459
BaseRepresentation
bin111111110001100…
…1001011100100000
312112010122012121020
41333203021130200
513340304421120
6552201525440
7104013010200
oct17743113440
95463565536
102139920160
119a8a24764
124b87a3880
13281457261
141642bc400
15c7d00640
hex7f8c9720

2139920160 has 288 divisors, whose sum is σ = 8056480320. Its totient is φ = 475711488.

The previous prime is 2139920143. The next prime is 2139920171. The reversal of 2139920160 is 610299312.

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, 869011 + ... + 871469.

It is an arithmetic number, because the mean of its divisors is an integer number (27973890).

Almost surely, 22139920160 is an apocalyptic number.

2139920160 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 2139920160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028240160).

2139920160 is an abundant number, since it is smaller than the sum of its proper divisors (5916560160).

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

2139920160 is a wasteful number, since it uses less digits than its factorization.

2139920160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 2139920160 is about 46259.2710707810. The cubic root of 2139920160 is about 1288.6427164060.

The spelling of 2139920160 in words is "two billion, one hundred thirty-nine million, nine hundred twenty thousand, one hundred sixty".