2981282436 has 144 divisors (see below), whose sum is σ = 8688109248. Its totient is φ = 886204800.

The previous prime is 2981282429. The next prime is 2981282441. The reversal of 2981282436 is 6342821892.

2981282436 is a `hidden beast` number, since 2 + 98 + 128 + 2 + 436 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2981282391 and 2981282400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564046 + ... + 569306.

It is an arithmetic number, because the mean of its divisors is an integer number (60334092).

Almost surely, 2^2981282436 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 2981282436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344054624).

2981282436 is an abundant number, since it is smaller than the sum of its proper divisors (5706826812).

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

2981282436 is a wasteful number, since it uses less digits than its factorization.

2981282436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344 (or 5330 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2981282436 is about 54601.1211972795. The cubic root of 2981282436 is about 1439.2438217323.

The spelling of 2981282436 in words is "two billion, nine hundred eighty-one million, two hundred eighty-two thousand, four hundred thirty-six".