2946680001600 has 168 divisors, whose sum is σ = 9979423442688. Its totient is φ = 760433510400.

The previous prime is 2946680001589. The next prime is 2946680001637. The reversal of 2946680001600 is 61000866492.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9752679 + ... + 10050278.

It is an arithmetic number, because the mean of its divisors is an integer number (59401330016).

Almost surely, 2^{2946680001600} is an apocalyptic number.

2946680001600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2946680001600 is an abundant number, since it is smaller than the sum of its proper divisors (7032743441088).

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

2946680001600 is a wasteful number, since it uses less digits than its factorization.

2946680001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19803013 (or 19802998 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 2946680001600 in words is "two trillion, nine hundred forty-six billion, six hundred eighty million, one thousand, six hundred".