2961312 has 48 divisors (see below), whose sum is σ = 7872480. Its totient is φ = 974592.

The previous prime is 2961311. The next prime is 2961331. The reversal of 2961312 is 2131692.

2961312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2961312² = 17538737522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10323 + ... + 10605.

It is an arithmetic number, because the mean of its divisors is an integer number (164010).

2^2961312 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 2961312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936240).

2961312 is an abundant number, since it is smaller than the sum of its proper divisors (4911168).

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

2961312 is a wasteful number, since it uses less digits than its factorization.

2961312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 2961312 is about 1720.8463034217. The cubic root of 2961312 is about 143.6022976901.

The spelling of 2961312 in words is "two million, nine hundred sixty-one thousand, three hundred twelve".