2734315200 has 252 divisors, whose sum is σ = 9765334800. Its totient is φ = 725637120.

The previous prime is 2734315183. The next prime is 2734315223. The reversal of 2734315200 is 25134372.

2734315200 is a `hidden beast` number, since 27 + 3 + 431 + 5 + 200 = 666.

It is a super-2 number, since 2×2734315200² = 14952959225902080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4564501 + ... + 4565099.

Almost surely, 2^2734315200 is an apocalyptic number.

2734315200 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 2734315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882667400).

2734315200 is an abundant number, since it is smaller than the sum of its proper divisors (7031019600).

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

2734315200 is a wasteful number, since it uses less digits than its factorization.

2734315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2734315200 is about 52290.6798578867. The cubic root of 2734315200 is about 1398.3509836076.

Adding to 2734315200 its reverse (25134372), we get a palindrome (2759449572).

It can be divided in two parts, 273431 and 5200, that added together give a triangular number (278631 = T₇₄₆).

The spelling of 2734315200 in words is "two billion, seven hundred thirty-four million, three hundred fifteen thousand, two hundred".