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2125241580 = 22357112193171
BaseRepresentation
bin111111010101100…
…1001110011101100
312111010000110101010
41332223021303230
513323030212310
6550515145220
7103444153410
oct17653116354
95433013333
102125241580
119a0709500
124b38a5210
1327b3b7cc7
1416237ad40
15c68a1320
hex7eac9cec

2125241580 has 576 divisors, whose sum is σ = 8236892160. Its totient is φ = 399168000.

The previous prime is 2125241543. The next prime is 2125241581. The reversal of 2125241580 is 851425212.

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

It is not an unprimeable number, because it can be changed into a prime (2125241581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29932945 + ... + 29933015.

It is an arithmetic number, because the mean of its divisors is an integer number (14300160).

Almost surely, 22125241580 is an apocalyptic number.

2125241580 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 2125241580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118446080).

2125241580 is an abundant number, since it is smaller than the sum of its proper divisors (6111650580).

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

2125241580 is a wasteful number, since it uses less digits than its factorization.

2125241580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 2125241580 is about 46100.3425149966. The cubic root of 2125241580 is about 1285.6895127149.

Adding to 2125241580 its reverse (851425212), we get a palindrome (2976666792).

The spelling of 2125241580 in words is "two billion, one hundred twenty-five million, two hundred forty-one thousand, five hundred eighty".