2980352450880 has 1344 divisors, whose sum is σ = 12330697167360. Its totient is φ = 646565068800.

The previous prime is 2980352450869. The next prime is 2980352450941. The reversal of 2980352450880 is 880542530892.

It is a happy number.

2980352450880 is a `hidden beast` number, since 2 + 9 + 8 + 0 + 3 + 52 + 4 + 508 + 80 = 666.

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, 10606236340 + ... + 10606236620.

Almost surely, 2^{2980352450880} is an apocalyptic number.

2980352450880 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 2980352450880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6165348583680).

2980352450880 is an abundant number, since it is smaller than the sum of its proper divisors (9350344716480).

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

2980352450880 is a wasteful number, since it uses less digits than its factorization.

2980352450880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2980352450880 in words is "two trillion, nine hundred eighty billion, three hundred fifty-two million, four hundred fifty thousand, eight hundred eighty".