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2181048912 = 2432719472423
BaseRepresentation
bin1000001000000000…
…0010101001010000
312122000000202122100
42002000002221100
513431322031122
61000231240400
7105022416120
oct20200025120
95560022570
102181048912
11a1a166369
1250a519100
13289b277b3
14169946c80
15cb726aac
hex82002a50

2181048912 has 240 divisors, whose sum is σ = 7502376960. Its totient is φ = 577559808.

The previous prime is 2181048911. The next prime is 2181048913. The reversal of 2181048912 is 2198401812.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2181048911) and next prime (2181048913).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181048911) 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 47 ways as a sum of consecutive naturals, for example, 898933 + ... + 901355.

It is an arithmetic number, because the mean of its divisors is an integer number (31259904).

Almost surely, 22181048912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2181048912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751188480).

2181048912 is an abundant number, since it is smaller than the sum of its proper divisors (5321328048).

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

2181048912 is a wasteful number, since it uses less digits than its factorization.

2181048912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2510 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 2181048912 is about 46701.7013822837. The cubic root of 2181048912 is about 1296.8461837867.

The spelling of 2181048912 in words is "two billion, one hundred eighty-one million, forty-eight thousand, nine hundred twelve".