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2125530624 = 2937231911
BaseRepresentation
bin111111010110001…
…0000011000000000
312111010120010212110
41332230100120000
513323113434444
6550525255320
7103446466200
oct17654203000
95433503773
102125530624
119a0896688
124b3a04540
1327b489739
14162414400
15c690bcb9
hex7eb10600

2125530624 has 240 divisors, whose sum is σ = 6806992896. Its totient is φ = 587059200.

The previous prime is 2125530623. The next prime is 2125530643. The reversal of 2125530624 is 4260355212.

It is a junction number, because it is equal to n+sod(n) for n = 2125530591 and 2125530600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125530623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2332729 + ... + 2333639.

Almost surely, 22125530624 is an apocalyptic number.

2125530624 is a gapful number since it is divisible by the number (24) 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 2125530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403496448).

2125530624 is an abundant number, since it is smaller than the sum of its proper divisors (4681462272).

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

2125530624 is an equidigital number, since it uses as much as digits as its factorization.

2125530624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2125530624 is about 46103.4773525816. The cubic root of 2125530624 is about 1285.7477969114.

Adding to 2125530624 its reverse (4260355212), we get a palindrome (6385885836).

The spelling of 2125530624 in words is "two billion, one hundred twenty-five million, five hundred thirty thousand, six hundred twenty-four".