2952648 has 48 divisors (see below), whose sum is σ = 8349120. Its totient is φ = 940896.

The previous prime is 2952647. The next prime is 2952659. The reversal of 2952648 is 8462592.

It is a happy number.

2952648 is a `hidden beast` number, since 2 + 9 + 5 + 2 + 648 = 666.

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 not an unprimeable number, because it can be changed into a prime (2952647) 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, 765 + ... + 2547.

It is an arithmetic number, because the mean of its divisors is an integer number (173940).

2^2952648 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 2952648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4174560).

2952648 is an abundant number, since it is smaller than the sum of its proper divisors (5396472).

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

2952648 is a wasteful number, since it uses less digits than its factorization.

2952648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1811 counting only the distinct ones).

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

The square root of 2952648 is about 1718.3270934255. The cubic root of 2952648 is about 143.4621136937.

It can be divided in two parts, 2952 and 648, that added together give a square (3600 = 60²).

The spelling of 2952648 in words is "two million, nine hundred fifty-two thousand, six hundred forty-eight".