2942681416896 has 56 divisors (see below), whose sum is σ = 8384755711024. Its totient is φ = 905440435200.

The previous prime is 2942681416891. The next prime is 2942681416897. The reversal of 2942681416896 is 6986141862492.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2942681416891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 589476955 + ... + 589481946.

It is an arithmetic number, because the mean of its divisors is an integer number (149727780554).

Almost surely, 2^{2942681416896} is an apocalyptic number.

2942681416896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2942681416896 is an abundant number, since it is smaller than the sum of its proper divisors (5442074294128).

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

2942681416896 is a wasteful number, since it uses less digits than its factorization.

2942681416896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178958929 (or 1178958919 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 66.

The spelling of 2942681416896 in words is "two trillion, nine hundred forty-two billion, six hundred eighty-one million, four hundred sixteen thousand, eight hundred ninety-six".