2980449561600 has 2640 divisors, whose sum is σ = 13533459160320. Its totient is φ = 633028608000.

The previous prime is 2980449561587. The next prime is 2980449561613. The reversal of 2980449561600 is 61659440892.

2980449561600 is a `hidden beast` number, since 2 + 9 + 80 + 449 + 5 + 61 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2980449561587) and next prime (2980449561613).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27854668747 + ... + 27854668853.

It is an arithmetic number, because the mean of its divisors is an integer number (5126310288).

Almost surely, 2^{2980449561600} is an apocalyptic number.

2980449561600 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 2980449561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6766729580160).

2980449561600 is an abundant number, since it is smaller than the sum of its proper divisors (10553009598720).

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

2980449561600 is a wasteful number, since it uses less digits than its factorization.

2980449561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2980449561600 in words is "two trillion, nine hundred eighty billion, four hundred forty-nine million, five hundred sixty-one thousand, six hundred".