2978136 has 96 divisors (see below), whose sum is σ = 9734400. Its totient is φ = 803520.

The previous prime is 2978119. The next prime is 2978147. The reversal of 2978136 is 6318792.

2978136 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-3 number, since 3×2978136³ = 79241891576153338368, which contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 2978136.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9421 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (101400).

2^2978136 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 2978136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4867200).

2978136 is an abundant number, since it is smaller than the sum of its proper divisors (6756264).

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

2978136 is a wasteful number, since it uses less digits than its factorization.

2978136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 342 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 2978136 is about 1725.7276726065. The cubic root of 2978136 is about 143.8737319053.

The spelling of 2978136 in words is "two million, nine hundred seventy-eight thousand, one hundred thirty-six".