2986420516800 has 1344 divisors, whose sum is σ = 12252175810560. Its totient is φ = 621637632000.

The previous prime is 2986420516757. The next prime is 2986420516817. The reversal of 2986420516800 is 86150246892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1858381597 + ... + 1858383203.

It is an arithmetic number, because the mean of its divisors is an integer number (9116202240).

Almost surely, 2^{2986420516800} is an apocalyptic number.

2986420516800 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 2986420516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126087905280).

2986420516800 is an abundant number, since it is smaller than the sum of its proper divisors (9265755293760).

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

2986420516800 is a wasteful number, since it uses less digits than its factorization.

2986420516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 2986420516800 in words is "two trillion, nine hundred eighty-six billion, four hundred twenty million, five hundred sixteen thousand, eight hundred".