2952896 has 56 divisors (see below), whose sum is σ = 6370320. Its totient is φ = 1354752.

The previous prime is 2952893. The next prime is 2952913. The reversal of 2952896 is 6982592.

It is not an unprimeable number, because it can be changed into a prime (2952893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68651 + ... + 68693.

2^2952896 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 2952896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3185160).

2952896 is an abundant number, since it is smaller than the sum of its proper divisors (3417424).

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

2952896 is a wasteful number, since it uses less digits than its factorization.

2952896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 111 counting only the distinct ones).

The product of its digits is 77760, while the sum is 41.

The square root of 2952896 is about 1718.3992551209. The cubic root of 2952896 is about 143.4661301571.

It can be divided in two parts, 29 and 52896, that added together give a palindrome (52925).

The spelling of 2952896 in words is "two million, nine hundred fifty-two thousand, eight hundred ninety-six".