2961331196544 has 384 divisors, whose sum is σ = 9789539760000. Its totient is φ = 841708412928.

The previous prime is 2961331196513. The next prime is 2961331196573. The reversal of 2961331196544 is 4456911331692.

2961331196544 is a `hidden beast` number, since 2 + 9 + 6 + 1 + 3 + 3 + 1 + 1 + 96 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1500927142 + ... + 1500929114.

It is an arithmetic number, because the mean of its divisors is an integer number (25493593125).

Almost surely, 2^{2961331196544} is an apocalyptic number.

2961331196544 is a gapful number since it is divisible by the number (24) 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 2961331196544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894769880000).

2961331196544 is an abundant number, since it is smaller than the sum of its proper divisors (6828208563456).

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

2961331196544 is a wasteful number, since it uses less digits than its factorization.

2961331196544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2857 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 54.

The spelling of 2961331196544 in words is "two trillion, nine hundred sixty-one billion, three hundred thirty-one million, one hundred ninety-six thousand, five hundred forty-four".