2734675200 has 324 divisors, whose sum is σ = 9867485628. Its totient is φ = 722534400.

The previous prime is 2734675157. The next prime is 2734675219. The reversal of 2734675200 is 25764372.

It is a happy number.

2734675200 is a `hidden beast` number, since 2 + 73 + 4 + 67 + 520 + 0 = 666.

2734675200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 257025024 + 2477650176 = 16032^2 + 49776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 11347080 + ... + 11347320.

Almost surely, 2^2734675200 is an apocalyptic number.

2734675200 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 2734675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933742814).

2734675200 is an abundant number, since it is smaller than the sum of its proper divisors (7132810428).

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

2734675200 is a wasteful number, since it uses less digits than its factorization.

2734675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2734675200 is about 52294.1220406271. The cubic root of 2734675200 is about 1398.4123498884.

The spelling of 2734675200 in words is "two billion, seven hundred thirty-four million, six hundred seventy-five thousand, two hundred".