2961705579954 has 64 divisors (see below), whose sum is σ = 6553344683520. Its totient is φ = 884844456320.

The previous prime is 2961705579953. The next prime is 2961705579961. The reversal of 2961705579954 is 4599755071692.

2961705579954 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2961705579953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1311757 + ... + 2764799.

It is an arithmetic number, because the mean of its divisors is an integer number (102396010680).

Almost surely, 2^{2961705579954} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2961705579954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276672341760).

2961705579954 is an abundant number, since it is smaller than the sum of its proper divisors (3591639103566).

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

2961705579954 is a wasteful number, since it uses less digits than its factorization.

2961705579954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453495.

The product of its (nonzero) digits is 214326000, while the sum is 69.

The spelling of 2961705579954 in words is "two trillion, nine hundred sixty-one billion, seven hundred five million, five hundred seventy-nine thousand, nine hundred fifty-four".