2965536 has 72 divisors (see below), whose sum is σ = 9644544. Its totient is φ = 846720.

The previous prime is 2965519. The next prime is 2965537. The reversal of 2965536 is 6355692.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2965536.

It is not an unprimeable number, because it can be changed into a prime (2965537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1281 + ... + 2751.

It is an arithmetic number, because the mean of its divisors is an integer number (133952).

2^2965536 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 2965536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822272).

2965536 is an abundant number, since it is smaller than the sum of its proper divisors (6679008).

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

2965536 is a wasteful number, since it uses less digits than its factorization.

2965536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1483 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 2965536 is about 1722.0731691772. The cubic root of 2965536 is about 143.6705431083.

It can be divided in two parts, 296 and 5536, that added together give a cube (5832 = 18³).

The spelling of 2965536 in words is "two million, nine hundred sixty-five thousand, five hundred thirty-six".