2965344 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 878592.

The previous prime is 2965331. The next prime is 2965351. The reversal of 2965344 is 4435692.

2965344 = 570² + 571² + ... + 578².

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37497 + ... + 37575.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

2^2965344 is an apocalyptic number.

2965344 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 2965344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

2965344 is an abundant number, since it is smaller than the sum of its proper divisors (5743776).

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

2965344 is a wasteful number, since it uses less digits than its factorization.

2965344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 2965344 is about 1722.0174215147. The cubic root of 2965344 is about 143.6674424502.

The spelling of 2965344 in words is "two million, nine hundred sixty-five thousand, three hundred forty-four".