2734438400 has 72 divisors (see below), whose sum is σ = 6779878560. Its totient is φ = 1093754880.

The previous prime is 2734438387. The next prime is 2734438429. The reversal of 2734438400 is 48344372.

2734438400 is nontrivially palindromic in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24497 + ... + 77903.

It is an arithmetic number, because the mean of its divisors is an integer number (94164980).

Almost surely, 2^2734438400 is an apocalyptic number.

2734438400 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 2734438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3389939280).

2734438400 is an abundant number, since it is smaller than the sum of its proper divisors (4045440160).

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

2734438400 is an equidigital number, since it uses as much as digits as its factorization.

2734438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53439 (or 53414 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 35.

The square root of 2734438400 is about 52291.8578748164. The cubic root of 2734438400 is about 1398.3719851188.

The spelling of 2734438400 in words is "two billion, seven hundred thirty-four million, four hundred thirty-eight thousand, four hundred".