2748211200 has 672 divisors, whose sum is σ = 11701393920. Its totient is φ = 619315200.

The previous prime is 2748211093. The next prime is 2748211201. The reversal of 2748211200 is 21128472.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38707165 + ... + 38707235.

Almost surely, 2^2748211200 is an apocalyptic number.

2748211200 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 2748211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850696960).

2748211200 is an abundant number, since it is smaller than the sum of its proper divisors (8953182720).

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

2748211200 is an equidigital number, since it uses as much as digits as its factorization.

2748211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2748211200 is about 52423.3840952680. The cubic root of 2748211200 is about 1400.7158244105.

Adding to 2748211200 its reverse (21128472), we get a palindrome (2769339672).

The spelling of 2748211200 in words is "two billion, seven hundred forty-eight million, two hundred eleven thousand, two hundred".