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2125840080 = 24357131947109
BaseRepresentation
bin111111010110101…
…1011111011010000
312111011010212100210
41332231123323100
513323203340310
6550540044120
7103452225330
oct17655337320
95434125323
102125840080
119a0a88131
124b3b33640
1327b567550
141624950c0
15c696d820
hex7eb5bed0

2125840080 has 640 divisors, whose sum is σ = 8799436800. Its totient is φ = 412065792.

The previous prime is 2125840001. The next prime is 2125840103. The reversal of 2125840080 is 800485212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 19503066 + ... + 19503174.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 22125840080 is an apocalyptic number.

2125840080 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 2125840080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399718400).

2125840080 is an abundant number, since it is smaller than the sum of its proper divisors (6673596720).

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

2125840080 is a wasteful number, since it uses less digits than its factorization.

2125840080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 2125840080 is about 46106.8333330321. The cubic root of 2125840080 is about 1285.8101912234.

The spelling of 2125840080 in words is "two billion, one hundred twenty-five million, eight hundred forty thousand, eighty".