2726090400 has 288 divisors, whose sum is σ = 9995360256. Its totient is φ = 639360000.

The previous prime is 2726090359. The next prime is 2726090407. The reversal of 2726090400 is 40906272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2726090407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 816735 + ... + 820065.

It is an arithmetic number, because the mean of its divisors is an integer number (34706112).

Almost surely, 2^2726090400 is an apocalyptic number.

2726090400 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 2726090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4997680128).

2726090400 is an abundant number, since it is smaller than the sum of its proper divisors (7269269856).

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

2726090400 is a wasteful number, since it uses less digits than its factorization.

2726090400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3396 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2726090400 is about 52211.9756377787. The cubic root of 2726090400 is about 1396.9474989523.

Adding to 2726090400 its reverse (40906272), we get a palindrome (2766996672).

The spelling of 2726090400 in words is "two billion, seven hundred twenty-six million, ninety thousand, four hundred".