2734899686400 has 1056 divisors, whose sum is σ = 10676468662272. Its totient is φ = 604451635200.

The previous prime is 2734899686381. The next prime is 2734899686401. The reversal of 2734899686400 is 46869984372.

It is not an unprimeable number, because it can be changed into a prime (2734899686401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2799282712 + ... + 2799283688.

Almost surely, 2^{2734899686400} is an apocalyptic number.

2734899686400 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 2734899686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338234331136).

2734899686400 is an abundant number, since it is smaller than the sum of its proper divisors (7941568975872).

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

2734899686400 is a wasteful number, since it uses less digits than its factorization.

2734899686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 2734899686400 in words is "two trillion, seven hundred thirty-four billion, eight hundred ninety-nine million, six hundred eighty-six thousand, four hundred".