2978083872000 has 432 divisors, whose sum is σ = 10977424108560. Its totient is φ = 774782976000.

The previous prime is 2978083871977. The next prime is 2978083872007. The reversal of 2978083872000 is 2783808792.

It can be written as a sum of positive squares in 8 ways, for example, as 918009264384 + 2060074607616 = 958128^2 + 1435296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2978083872007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11681896 + ... + 11934104.

It is an arithmetic number, because the mean of its divisors is an integer number (25410703955).

Almost surely, 2^{2978083872000} is an apocalyptic number.

2978083872000 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 2978083872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488712054280).

2978083872000 is an abundant number, since it is smaller than the sum of its proper divisors (7999340236560).

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

2978083872000 is a wasteful number, since it uses less digits than its factorization.

2978083872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252287 (or 252260 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 2978083872000 in words is "two trillion, nine hundred seventy-eight billion, eighty-three million, eight hundred seventy-two thousand".