2976130080000 has 2880 divisors, whose sum is σ = 14344288358400. Its totient is φ = 590008320000.

The previous prime is 2976130079971. The next prime is 2976130080013. The reversal of 2976130080000 is 800316792.

2976130080000 is a `hidden beast` number, since 297 + 61 + 300 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7650719806 + ... + 7650720194.

It is an arithmetic number, because the mean of its divisors is an integer number (4980655680).

Almost surely, 2^{2976130080000} is an apocalyptic number.

2976130080000 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 2976130080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172144179200).

2976130080000 is an abundant number, since it is smaller than the sum of its proper divisors (11368158278400).

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

2976130080000 is a wasteful number, since it uses less digits than its factorization.

2976130080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 2976130080000 its reverse (800316792), we get a palindrome (2976930396792).

The spelling of 2976130080000 in words is "two trillion, nine hundred seventy-six billion, one hundred thirty million, eighty thousand".