2952768 has 112 divisors (see below), whose sum is σ = 9672320. Its totient is φ = 778752.

The previous prime is 2952749. The next prime is 2952769. The reversal of 2952768 is 8672592.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2952769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227130 + ... + 227142.

It is an arithmetic number, because the mean of its divisors is an integer number (86360).

2^2952768 is an apocalyptic number.

2952768 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 2952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4836160).

2952768 is an abundant number, since it is smaller than the sum of its proper divisors (6719552).

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

2952768 is an equidigital number, since it uses as much as digits as its factorization.

2952768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 25 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 2952768 is about 1718.3620107533. The cubic root of 2952768 is about 143.4640571718.

The spelling of 2952768 in words is "two million, nine hundred fifty-two thousand, seven hundred sixty-eight".