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2130051168 = 25347231541
BaseRepresentation
bin111111011110110…
…0000000001100000
312111110001210220000
41332331200001200
513330243114133
6551210220000
7103533064500
oct17675400140
95443053800
102130051168
119a33a3a73
124b5424600
1327c3b020b
14162c6da00
15c7001413
hex7ef60060

2130051168 has 360 divisors, whose sum is σ = 7536158784. Its totient is φ = 587865600.

The previous prime is 2130051163. The next prime is 2130051169. The reversal of 2130051168 is 8611500312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130051163) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3936978 + ... + 3937518.

Almost surely, 22130051168 is an apocalyptic number.

2130051168 is a gapful number since it is divisible by the number (28) 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 2130051168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768079392).

2130051168 is an abundant number, since it is smaller than the sum of its proper divisors (5406107616).

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

2130051168 is a wasteful number, since it uses less digits than its factorization.

2130051168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2130051168 is about 46152.4773766263. The cubic root of 2130051168 is about 1286.6586539930.

The spelling of 2130051168 in words is "two billion, one hundred thirty million, fifty-one thousand, one hundred sixty-eight".