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2152084480 = 210571331149
BaseRepresentation
bin1000000001000110…
…0011010000000000
312112222112012220121
42000101203100000
513401413200410
6553314350024
7104221262530
oct20021432000
95488465817
102152084480
11a04882a17
1250088b314
13283b25c90
14165b674c0
15c8e049da
hex80463400

2152084480 has 352 divisors, whose sum is σ = 6602803200. Its totient is φ = 654704640.

The previous prime is 2152084477. The next prime is 2152084489. The reversal of 2152084480 is 844802512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152084489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14443446 + ... + 14443594.

Almost surely, 22152084480 is an apocalyptic number.

2152084480 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 2152084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301401600).

2152084480 is an abundant number, since it is smaller than the sum of its proper divisors (4450718720).

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

2152084480 is a wasteful number, since it uses less digits than its factorization.

2152084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The square root of 2152084480 is about 46390.5645578926. The cubic root of 2152084480 is about 1291.0798561735.

Adding to 2152084480 its reverse (844802512), we get a palindrome (2996886992).

The spelling of 2152084480 in words is "two billion, one hundred fifty-two million, eighty-four thousand, four hundred eighty".