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2131710240 = 2535112172127
BaseRepresentation
bin111111100001111…
…0101000100100000
312111120012002201010
41333003311010200
513331204211430
6551305540520
7103553144442
oct17703650440
95446162633
102131710240
119a4327500
124b5aa4740
1327c84140a
14163182492
15c722ccb0
hex7f0f5120

2131710240 has 432 divisors, whose sum is σ = 7902268416. Its totient is φ = 482549760.

The previous prime is 2131710233. The next prime is 2131710277. The reversal of 2131710240 is 420171312.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16785057 + ... + 16785183.

It is an arithmetic number, because the mean of its divisors is an integer number (18292288).

Almost surely, 22131710240 is an apocalyptic number.

2131710240 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 2131710240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951134208).

2131710240 is an abundant number, since it is smaller than the sum of its proper divisors (5770558176).

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

2131710240 is a wasteful number, since it uses less digits than its factorization.

2131710240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2131710240 is about 46170.4476911368. The cubic root of 2131710240 is about 1286.9926217708.

Adding to 2131710240 its reverse (420171312), we get a palindrome (2551881552).

The spelling of 2131710240 in words is "two billion, one hundred thirty-one million, seven hundred ten thousand, two hundred forty".