2980114816000 has 528 divisors, whose sum is σ = 8782309538496. Its totient is φ = 988508160000.

The previous prime is 2980114815941. The next prime is 2980114816043. The reversal of 2980114816000 is 6184110892.

2980114816000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861054270 + ... + 861057730.

Almost surely, 2^{2980114816000} is an apocalyptic number.

2980114816000 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 2980114816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391154769248).

2980114816000 is an abundant number, since it is smaller than the sum of its proper divisors (5802194722496).

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

2980114816000 is an equidigital number, since it uses as much as digits as its factorization.

2980114816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3506 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 40.

Adding to 2980114816000 its reverse (6184110892), we get a palindrome (2986298926892).

The spelling of 2980114816000 in words is "two trillion, nine hundred eighty billion, one hundred fourteen million, eight hundred sixteen thousand".