2750630400 has 600 divisors, whose sum is σ = 11665309920. Its totient is φ = 627056640.

The previous prime is 2750630387. The next prime is 2750630419. The reversal of 2750630400 is 40360572.

It is a happy number.

2750630400 is a `hidden beast` number, since 27 + 5 + 0 + 630 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7257411 + ... + 7257789.

Almost surely, 2^2750630400 is an apocalyptic number.

2750630400 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 2750630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832654960).

2750630400 is an abundant number, since it is smaller than the sum of its proper divisors (8914679520).

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

2750630400 is an equidigital number, since it uses as much as digits as its factorization.

2750630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 396 counting only the distinct ones).

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

The square root of 2750630400 is about 52446.4526922460. The cubic root of 2750630400 is about 1401.1267120329.

Adding to 2750630400 its reverse (40360572), we get a palindrome (2790990972).

The spelling of 2750630400 in words is "two billion, seven hundred fifty million, six hundred thirty thousand, four hundred".