2753145200 has 180 divisors, whose sum is σ = 7238521080. Its totient is φ = 1005788160.

The previous prime is 2753145169. The next prime is 2753145233. The reversal of 2753145200 is 25413572.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9396254 + ... + 9396546.

It is an arithmetic number, because the mean of its divisors is an integer number (40214006).

Almost surely, 2^2753145200 is an apocalyptic number.

2753145200 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 2753145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619260540).

2753145200 is an abundant number, since it is smaller than the sum of its proper divisors (4485375880).

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

2753145200 is a wasteful number, since it uses less digits than its factorization.

2753145200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 2753145200 is about 52470.4221442900. The cubic root of 2753145200 is about 1401.5535814737.

Adding to 2753145200 its reverse (25413572), we get a palindrome (2778558772).

The spelling of 2753145200 in words is "two billion, seven hundred fifty-three million, one hundred forty-five thousand, two hundred".