2734982400 has 216 divisors, whose sum is σ = 9087411424. Its totient is φ = 724377600.

The previous prime is 2734982387. The next prime is 2734982407. The reversal of 2734982400 is 42894372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734982407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3474807 + ... + 3475593.

Almost surely, 2^2734982400 is an apocalyptic number.

2734982400 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 2734982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4543705712).

2734982400 is an abundant number, since it is smaller than the sum of its proper divisors (6352429024).

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

2734982400 is a wasteful number, since it uses less digits than its factorization.

2734982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 2734982400 is about 52297.0591907423. The cubic root of 2734982400 is about 1398.4647115228.

The spelling of 2734982400 in words is "two billion, seven hundred thirty-four million, nine hundred eighty-two thousand, four hundred".