2946368 has 28 divisors (see below), whose sum is σ = 6156960. Its totient is φ = 1395072.

The previous prime is 2946367. The next prime is 2946373. The reversal of 2946368 is 8636492.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2946367) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5 + ... + 2427.

2^2946368 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 2946368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078480).

2946368 is an abundant number, since it is smaller than the sum of its proper divisors (3210592).

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

2946368 is a wasteful number, since it uses less digits than its factorization.

2946368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2444 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 2946368 is about 1716.4987620153. The cubic root of 2946368 is about 143.3603314326.

It can be divided in two parts, 2946 and 368, that multiplied together give a triangular number (1084128 = T₁₄₇₂).

The spelling of 2946368 in words is "two million, nine hundred forty-six thousand, three hundred sixty-eight".