2980173081600 has 1584 divisors, whose sum is σ = 12959452521120. Its totient is φ = 666648576000.

The previous prime is 2980173081593. The next prime is 2980173081601. The reversal of 2980173081600 is 61803710892.

2980173081600 is a `hidden beast` number, since 2 + 9 + 8 + 0 + 1 + 7 + 30 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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

It is not an unprimeable number, because it can be changed into a prime (2980173081601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1087256230 + ... + 1087258970.

Almost surely, 2^{2980173081600} is an apocalyptic number.

2980173081600 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 2980173081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479726260560).

2980173081600 is an abundant number, since it is smaller than the sum of its proper divisors (9979279439520).

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

2980173081600 is a wasteful number, since it uses less digits than its factorization.

2980173081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2815 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 2980173081600 in words is "two trillion, nine hundred eighty billion, one hundred seventy-three million, eighty-one thousand, six hundred".