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2125150560 = 253351379479
BaseRepresentation
bin111111010101011…
…0011100101100000
312111002211211112000
41332222303211200
513323014304220
6550513204000
7103443324141
oct17652634540
95432754460
102125150560
119a0657085
124b3860600
1327b385750
14162355ac8
15c6884390
hex7eab3960

2125150560 has 384 divisors, whose sum is σ = 8128512000. Its totient is φ = 515414016.

The previous prime is 2125150541. The next prime is 2125150571. The reversal of 2125150560 is 650515212.

2125150560 is a `hidden beast` number, since 2 + 1 + 2 + 51 + 50 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4436401 + ... + 4436879.

It is an arithmetic number, because the mean of its divisors is an integer number (21168000).

Almost surely, 22125150560 is an apocalyptic number.

2125150560 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 2125150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256000).

2125150560 is an abundant number, since it is smaller than the sum of its proper divisors (6003361440).

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

2125150560 is a wasteful number, since it uses less digits than its factorization.

2125150560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 2125150560 is about 46099.3553100258. The cubic root of 2125150560 is about 1285.6711579184.

Adding to 2125150560 its reverse (650515212), we get a palindrome (2775665772).

The spelling of 2125150560 in words is "two billion, one hundred twenty-five million, one hundred fifty thousand, five hundred sixty".