2978536360800 has 576 divisors, whose sum is σ = 13017255842304. Its totient is φ = 571307212800.

The previous prime is 2978536360777. The next prime is 2978536360801. The reversal of 2978536360800 is 80636358792.

2978536360800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978536360801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1782492 + ... + 3022308.

It is an arithmetic number, because the mean of its divisors is an integer number (22599402504).

Almost surely, 2^{2978536360800} is an apocalyptic number.

2978536360800 is a gapful number since it is divisible by the number (20) 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 2978536360800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508627921152).

2978536360800 is an abundant number, since it is smaller than the sum of its proper divisors (10038719481504).

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

2978536360800 is a wasteful number, since it uses less digits than its factorization.

2978536360800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239871 (or 1239858 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 2978536360800 in words is "two trillion, nine hundred seventy-eight billion, five hundred thirty-six million, three hundred sixty thousand, eight hundred".