2961361600 has 84 divisors (see below), whose sum is σ = 7483890544. Its totient is φ = 1152506880.

The previous prime is 2961361589. The next prime is 2961361621. The reversal of 2961361600 is 61631692.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34189 + ... + 84211.

Almost surely, 2^2961361600 is an apocalyptic number.

2961361600 is a gapful number since it is divisible by the number (20) 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 2961361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3741945272).

2961361600 is an abundant number, since it is smaller than the sum of its proper divisors (4522528944).

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

2961361600 is a wasteful number, since it uses less digits than its factorization.

2961361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50082 (or 50067 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 2961361600 is about 54418.3939491051. The cubic root of 2961361600 is about 1436.0309943316.

The spelling of 2961361600 in words is "two billion, nine hundred sixty-one million, three hundred sixty-one thousand, six hundred".