2555201400 has 96 divisors (see below), whose sum is σ = 7945257840. Its totient is φ = 679311360.

The previous prime is 2555201393. The next prime is 2555201413. The reversal of 2555201400 is 41025552.

It is a happy number.

It is a Cunningham number, because it is equal to 50549²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195882 + ... + 208518.

Almost surely, 2^2555201400 is an apocalyptic number.

2555201400 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 2555201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972628920).

2555201400 is an abundant number, since it is smaller than the sum of its proper divisors (5390056440).

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

2555201400 is a wasteful number, since it uses less digits than its factorization.

2555201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12993 (or 12984 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 2555201400 is about 50548.9999901086. Note that the first 5 decimals coincide. The cubic root of 2555201400 is about 1367.1254841269.

Adding to 2555201400 its reverse (41025552), we get a palindrome (2596226952).

The spelling of 2555201400 in words is "two billion, five hundred fifty-five million, two hundred one thousand, four hundred".