2555200440 has 384 divisors, whose sum is σ = 9423086400. Its totient is φ = 596090880.

The previous prime is 2555200399. The next prime is 2555200441. The reversal of 2555200440 is 440025552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2555200441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9093100 + ... + 9093380.

Almost surely, 2^2555200440 is an apocalyptic number.

2555200440 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 2555200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711543200).

2555200440 is an abundant number, since it is smaller than the sum of its proper divisors (6867885960).

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

2555200440 is a wasteful number, since it uses less digits than its factorization.

2555200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 2555200440 is about 50548.9904943709. The cubic root of 2555200440 is about 1367.1253129152.

Adding to 2555200440 its reverse (440025552), we get a palindrome (2995225992).

The spelling of 2555200440 in words is "two billion, five hundred fifty-five million, two hundred thousand, four hundred forty".