2961952 has 36 divisors (see below), whose sum is σ = 6786990. Its totient is φ = 1268736.

The previous prime is 2961949. The next prime is 2961953. The reversal of 2961952 is 2591692.

It can be written as a sum of positive squares in only one way, i.e., 2547216 + 414736 = 1596^2 + 644^2 .

It is a super-3 number, since 3×2961952³ = 77957033317611700224, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961953) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 624 + ... + 2512.

2^2961952 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 2961952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393495).

2961952 is an abundant number, since it is smaller than the sum of its proper divisors (3825038).

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

2961952 is a wasteful number, since it uses less digits than its factorization.

2961952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1898 counting only the distinct ones).

The product of its digits is 9720, while the sum is 34.

The square root of 2961952 is about 1721.0322483905. The cubic root of 2961952 is about 143.6126420746.

The spelling of 2961952 in words is "two million, nine hundred sixty-one thousand, nine hundred fifty-two".