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2131680480 = 253523293659
BaseRepresentation
bin111111100001110…
…1101110011100000
312111120010120212220
41333003231303200
513331202233410
6551305151040
7103552661616
oct17703556340
95446116786
102131680480
119a4307106
124b5a8b480
1327c8309c7
141631756b6
15c7224070
hex7f0edce0

2131680480 has 192 divisors, whose sum is σ = 7041323520. Its totient is φ = 541054976.

The previous prime is 2131680479. The next prime is 2131680491. The reversal of 2131680480 is 840861312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3234391 + ... + 3235049.

It is an arithmetic number, because the mean of its divisors is an integer number (36673560).

Almost surely, 22131680480 is an apocalyptic number.

2131680480 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 2131680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520661760).

2131680480 is an abundant number, since it is smaller than the sum of its proper divisors (4909643040).

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

2131680480 is a wasteful number, since it uses less digits than its factorization.

2131680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2131680480 is about 46170.1254059375. The cubic root of 2131680480 is about 1286.9866326706.

The spelling of 2131680480 in words is "two billion, one hundred thirty-one million, six hundred eighty thousand, four hundred eighty".