2555352400 has 240 divisors, whose sum is σ = 6697785600. Its totient is φ = 934778880.

The previous prime is 2555352391. The next prime is 2555352421. The reversal of 2555352400 is 42535552.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23443546 + ... + 23443654.

It is an arithmetic number, because the mean of its divisors is an integer number (27907440).

Almost surely, 2^2555352400 is an apocalyptic number.

2555352400 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 2555352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348892800).

2555352400 is an abundant number, since it is smaller than the sum of its proper divisors (4142433200).

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

2555352400 is a wasteful number, since it uses less digits than its factorization.

2555352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

The square root of 2555352400 is about 50550.4935683125. The cubic root of 2555352400 is about 1367.1524137565.

Adding to 2555352400 its reverse (42535552), we get a palindrome (2597887952).

The spelling of 2555352400 in words is "two billion, five hundred fifty-five million, three hundred fifty-two thousand, four hundred".