2978248 has 32 divisors (see below), whose sum is σ = 6874560. Its totient is φ = 1177920.

The previous prime is 2978233. The next prime is 2978251. The reversal of 2978248 is 8428792.

2978248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2978248² = 17739922299008, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2⁷ + 9² + 7⁷ + 8⁵ + 2¹³ + 4⁷ + 8⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 2978248.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1318 + ... + 2773.

It is an arithmetic number, because the mean of its divisors is an integer number (214830).

2^2978248 is an apocalyptic number.

2978248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2978248 is an abundant number, since it is smaller than the sum of its proper divisors (3896312).

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

2978248 is a wasteful number, since it uses less digits than its factorization.

2978248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4113 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 2978248 is about 1725.7601223809. The cubic root of 2978248 is about 143.8755354558.

The spelling of 2978248 in words is "two million, nine hundred seventy-eight thousand, two hundred forty-eight".