2734244100 has 405 divisors, whose sum is σ = 10436133477. Its totient is φ = 617440320.

The previous prime is 2734244057. The next prime is 2734244137. The reversal of 2734244100 is 14424372.

The square root of 2734244100 is 52290.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 984327876 + 1749916224 = 31374^2 + 41832^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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 134 ways as a sum of consecutive naturals, for example, 32942659 + ... + 32942741.

Almost surely, 2^2734244100 is an apocalyptic number.

2734244100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2734244100 is the 52290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734244100

2734244100 is an abundant number, since it is smaller than the sum of its proper divisors (7701889377).

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

2734244100 is a wasteful number, since it uses less digits than its factorization.

2734244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The cubic root of 2734244100 is about 1398.3388631302.

Adding to 2734244100 its reverse (14424372), we get a palindrome (2748668472).

The spelling of 2734244100 in words is "two billion, seven hundred thirty-four million, two hundred forty-four thousand, one hundred".