2980266220800 has 432 divisors, whose sum is σ = 11921825079360. Its totient is φ = 722488320000.

The previous prime is 2980266220783. The next prime is 2980266220819. The reversal of 2980266220800 is 80226620892.

2980266220800 is a `hidden beast` number, since 2 + 98 + 0 + 266 + 220 + 80 + 0 = 666.

2980266220800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1116850 + ... + 2684750.

Almost surely, 2^{2980266220800} is an apocalyptic number.

2980266220800 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 2980266220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960912539680).

2980266220800 is an abundant number, since it is smaller than the sum of its proper divisors (8941558858560).

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

2980266220800 is a wasteful number, since it uses less digits than its factorization.

2980266220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567947 (or 1567922 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2980266220800 in words is "two trillion, nine hundred eighty billion, two hundred sixty-six million, two hundred twenty thousand, eight hundred".