2978012544 has 192 divisors, whose sum is σ = 8664757200. Its totient is φ = 905748480.

The previous prime is 2978012503. The next prime is 2978012549. The reversal of 2978012544 is 4452108792.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2978012496 and 2978012505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978012549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7073454 + ... + 7073874.

Almost surely, 2^2978012544 is an apocalyptic number.

2978012544 is a gapful number since it is divisible by the number (24) 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 2978012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332378600).

2978012544 is an abundant number, since it is smaller than the sum of its proper divisors (5686744656).

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

2978012544 is a wasteful number, since it uses less digits than its factorization.

2978012544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2978012544 is about 54571.1695311728. The cubic root of 2978012544 is about 1438.7174382495.

It can be divided in two parts, 29780 and 12544, that added together give a palindrome (42324).

The spelling of 2978012544 in words is "two billion, nine hundred seventy-eight million, twelve thousand, five hundred forty-four".