2755430400 has 144 divisors (see below), whose sum is σ = 9109573200. Its totient is φ = 734740480.

The previous prime is 2755430399. The next prime is 2755430401. The reversal of 2755430400 is 40345572.

It is an interprime number because it is at equal distance from previous prime (2755430399) and next prime (2755430401).

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

It is not an unprimeable number, because it can be changed into a prime (2755430401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144631 + ... + 162569.

It is an arithmetic number, because the mean of its divisors is an integer number (63260925).

Almost surely, 2^2755430400 is an apocalyptic number.

2755430400 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 2755430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4554786600).

2755430400 is an abundant number, since it is smaller than the sum of its proper divisors (6354142800).

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

2755430400 is a wasteful number, since it uses less digits than its factorization.

2755430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17974 (or 17949 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 2755430400 is about 52492.1937053501. The cubic root of 2755430400 is about 1401.9412525758.

Adding to 2755430400 its reverse (40345572), we get a palindrome (2795775972).

The spelling of 2755430400 in words is "two billion, seven hundred fifty-five million, four hundred thirty thousand, four hundred".