2965088 has 72 divisors (see below), whose sum is σ = 7124544. Its totient is φ = 1209600.

The previous prime is 2965087. The next prime is 2965093. The reversal of 2965088 is 8805692.

2965088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2965087) 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 11 ways as a sum of consecutive naturals, for example, 48578 + ... + 48638.

It is an arithmetic number, because the mean of its divisors is an integer number (98952).

2^2965088 is an apocalyptic number.

2965088 is a gapful number since it is divisible by the number (28) 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 2965088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272).

2965088 is an abundant number, since it is smaller than the sum of its proper divisors (4159456).

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

2965088 is a wasteful number, since it uses less digits than its factorization.

2965088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 2965088 is about 1721.9430884904. The cubic root of 2965088 is about 143.6633080312.

The spelling of 2965088 in words is "two million, nine hundred sixty-five thousand, eighty-eight".