2961541481472 has 1408 divisors, whose sum is σ = 10923132620800. Its totient is φ = 783641640960.

The previous prime is 2961541481467. The next prime is 2961541481473. The reversal of 2961541481472 is 2741841451692.

2961541481472 is a `hidden beast` number, since 2 + 9 + 6 + 154 + 1 + 481 + 4 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2961541481473) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 18168966063 + ... + 18168966225.

Almost surely, 2^{2961541481472} 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 2961541481472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5461566310400).

2961541481472 is an abundant number, since it is smaller than the sum of its proper divisors (7961591139328).

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

2961541481472 is an equidigital number, since it uses as much as digits as its factorization.

2961541481472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 255 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 2961541481472 in words is "two trillion, nine hundred sixty-one billion, five hundred forty-one million, four hundred eighty-one thousand, four hundred seventy-two".