2976385041168 has 320 divisors, whose sum is σ = 10147236249600. Its totient is φ = 728303546880.

The previous prime is 2976385041151. The next prime is 2976385041181. The reversal of 2976385041168 is 8611405836792.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12451705 + ... + 12688487.

It is an arithmetic number, because the mean of its divisors is an integer number (31710113280).

It is a 1-persistent number, because it is pandigital, but 2⋅2976385041168 = 5952770082336 is not.

Almost surely, 2^{2976385041168} is an apocalyptic number.

2976385041168 is a gapful number since it is divisible by the number (28) 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 2976385041168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073618124800).

2976385041168 is an abundant number, since it is smaller than the sum of its proper divisors (7170851208432).

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

2976385041168 is a wasteful number, since it uses less digits than its factorization.

2976385041168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237010 (or 237004 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 2976385041168 in words is "two trillion, nine hundred seventy-six billion, three hundred eighty-five million, forty-one thousand, one hundred sixty-eight".