2734430400 has 504 divisors, whose sum is σ = 10874119984. Its totient is φ = 671846400.

The previous prime is 2734430359. The next prime is 2734430443. The reversal of 2734430400 is 40344372.

It is a super-2 number, since 2×2734430400² = 14954219224888320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5054130 + ... + 5054670.

Almost surely, 2^2734430400 is an apocalyptic number.

2734430400 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 2734430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5437059992).

2734430400 is an abundant number, since it is smaller than the sum of its proper divisors (8139689584).

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

2734430400 is a wasteful number, since it uses less digits than its factorization.

2734430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2734430400 is about 52291.7813810163. The cubic root of 2734430400 is about 1398.3706214035.

Adding to 2734430400 its reverse (40344372), we get a palindrome (2774774772).

The spelling of 2734430400 in words is "two billion, seven hundred thirty-four million, four hundred thirty thousand, four hundred".