2734041600 has 420 divisors, whose sum is σ = 10190718846. Its totient is φ = 726589440.

The previous prime is 2734041593. The next prime is 2734041691. The reversal of 2734041600 is 61404372.

2734041600 is a `hidden beast` number, since 27 + 34 + 0 + 4 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2554695936 + 179345664 = 50544^2 + 13392^2 .

It is a super-3 number, since 3×2734041600³ (a number of 29 digits) contains 333 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 polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9331054 + ... + 9331346.

Almost surely, 2^2734041600 is an apocalyptic number.

2734041600 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 2734041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095359423).

2734041600 is an abundant number, since it is smaller than the sum of its proper divisors (7456677246).

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

2734041600 is an frugal number, since it uses more digits than its factorization.

2734041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2734041600 is about 52288.0636474521. The cubic root of 2734041600 is about 1398.3043416318.

Adding to 2734041600 its reverse (61404372), we get a palindrome (2795445972).

The spelling of 2734041600 in words is "two billion, seven hundred thirty-four million, forty-one thousand, six hundred".