2978726314704 has 320 divisors, whose sum is σ = 9138615091200. Its totient is φ = 818444588544.

The previous prime is 2978726314679. The next prime is 2978726314717. The reversal of 2978726314704 is 4074136278792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443325457 + ... + 443332175.

It is an arithmetic number, because the mean of its divisors is an integer number (28558172160).

Almost surely, 2^{2978726314704} is an apocalyptic number.

2978726314704 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 2978726314704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569307545600).

2978726314704 is an abundant number, since it is smaller than the sum of its proper divisors (6159888776496).

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

2978726314704 is a wasteful number, since it uses less digits than its factorization.

2978726314704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7270 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 60.

The spelling of 2978726314704 in words is "two trillion, nine hundred seventy-eight billion, seven hundred twenty-six million, three hundred fourteen thousand, seven hundred four".