2746779368000 has 224 divisors, whose sum is σ = 6878797406208. Its totient is φ = 1086430464000.

The previous prime is 2746779367993. The next prime is 2746779368009. The reversal of 2746779368000 is 8639776472.

It is not an unprimeable number, because it can be changed into a prime (2746779368009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315971654 + ... + 315980346.

It is an arithmetic number, because the mean of its divisors is an integer number (30708916992).

Almost surely, 2^{2746779368000} is an apocalyptic number.

2746779368000 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 2746779368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3439398703104).

2746779368000 is an abundant number, since it is smaller than the sum of its proper divisors (4132018038208).

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

2746779368000 is a wasteful number, since it uses less digits than its factorization.

2746779368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9158 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 59.

The spelling of 2746779368000 in words is "two trillion, seven hundred forty-six billion, seven hundred seventy-nine million, three hundred sixty-eight thousand".