2980636508304 has 2025 divisors, whose sum is σ = 11927807829531. Its totient is φ = 715994173440.

The previous prime is 2980636508237. The next prime is 2980636508323. The reversal of 2980636508304 is 4038056360892.

The square root of 2980636508304 is 1726452.

It is a perfect power (a square), and thus also a powerful number.

2980636508304 is a `hidden beast` number, since 29 + 80 + 6 + 3 + 6 + 508 + 30 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26913058704 + 2953723449600 = 164052^2 + 1718640^2 .

It is a super-2 number, since 2×2980636508304² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 96149564769 + ... + 96149564799.

Almost surely, 2^{2980636508304} is an apocalyptic number.

2980636508304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2980636508304 is the 1726452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2980636508304

2980636508304 is an abundant number, since it is smaller than the sum of its proper divisors (8947171321227).

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

2980636508304 is a wasteful number, since it uses less digits than its factorization.

2980636508304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2980636508304 in words is "two trillion, nine hundred eighty billion, six hundred thirty-six million, five hundred eight thousand, three hundred four".