2965248 has 180 divisors, whose sum is σ = 10387608. Its totient is φ = 829440.

The previous prime is 2965247. The next prime is 2965253. The reversal of 2965248 is 8425692.

It is a happy number.

2965248 is nontrivially palindromic in base 15.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2965247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 228090 + ... + 228102.

2^2965248 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 2965248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193804).

2965248 is an abundant number, since it is smaller than the sum of its proper divisors (7422360).

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

2965248 is a wasteful number, since it uses less digits than its factorization.

2965248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 29 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2965248 is about 1721.9895470066. The cubic root of 2965248 is about 143.6658920710.

Adding to 2965248 its sum of digits (36), we get a square (2965284 = 1722²).

The spelling of 2965248 in words is "two million, nine hundred sixty-five thousand, two hundred forty-eight".