2981144871936 has 1584 divisors, whose sum is σ = 11558949816960. Its totient is φ = 730296483840.

The previous prime is 2981144871931. The next prime is 2981144871937. The reversal of 2981144871936 is 6391784411892.

2981144871936 is a `hidden beast` number, since 2 + 9 + 8 + 114 + 487 + 1 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2981144871931) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11082322810 + ... + 11082323078.

Almost surely, 2^{2981144871936} 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 2981144871936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779474908480).

2981144871936 is an abundant number, since it is smaller than the sum of its proper divisors (8577804945024).

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

2981144871936 is a wasteful number, since it uses less digits than its factorization.

2981144871936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 412 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 2981144871936 in words is "two trillion, nine hundred eighty-one billion, one hundred forty-four million, eight hundred seventy-one thousand, nine hundred thirty-six".