2978208 has 72 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 990144.

The previous prime is 2978197. The next prime is 2978219. The reversal of 2978208 is 8028792.

It is an interprime number because it is at equal distance from previous prime (2978197) and next prime (2978219).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7585 + ... + 7967.

It is an arithmetic number, because the mean of its divisors is an integer number (122304).

2^2978208 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 2978208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

2978208 is an abundant number, since it is smaller than the sum of its proper divisors (5827680).

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

2978208 is an equidigital number, since it uses as much as digits as its factorization.

2978208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2978208 is about 1725.7485332458. The cubic root of 2978208 is about 143.8748913358.

2978208 divided by its sum of digits (36) gives a palindrome (82728).

The spelling of 2978208 in words is "two million, nine hundred seventy-eight thousand, two hundred eight".