2978805075456 has 320 divisors, whose sum is σ = 9609904212480. Its totient is φ = 800438353920.

The previous prime is 2978805075409. The next prime is 2978805075487. The reversal of 2978805075456 is 6545705088792.

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 31 ways as a sum of consecutive naturals, for example, 288610776 + ... + 288621096.

It is an arithmetic number, because the mean of its divisors is an integer number (30030950664).

Almost surely, 2^{2978805075456} 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 2978805075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804952106240).

2978805075456 is an abundant number, since it is smaller than the sum of its proper divisors (6631099137024).

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

2978805075456 is a wasteful number, since it uses less digits than its factorization.

2978805075456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11945 (or 11929 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 66.

The spelling of 2978805075456 in words is "two trillion, nine hundred seventy-eight billion, eight hundred five million, seventy-five thousand, four hundred fifty-six".