2753314200 has 576 divisors, whose sum is σ = 11763532800. Its totient is φ = 579571200.

The previous prime is 2753314171. The next prime is 2753314279. The reversal of 2753314200 is 24133572.

2753314200 = 390³ + 391³ + ... + 429³.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6387985 + ... + 6388415.

It is an arithmetic number, because the mean of its divisors is an integer number (20422800).

Almost surely, 2^2753314200 is an apocalyptic number.

2753314200 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 2753314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881766400).

2753314200 is an abundant number, since it is smaller than the sum of its proper divisors (9010218600).

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

2753314200 is a wasteful number, since it uses less digits than its factorization.

2753314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2753314200 is about 52472.0325506836. The cubic root of 2753314200 is about 1401.5822587007.

Adding to 2753314200 its reverse (24133572), we get a palindrome (2777447772).

The spelling of 2753314200 in words is "two billion, seven hundred fifty-three million, three hundred fourteen thousand, two hundred".