2557200240 has 480 divisors, whose sum is σ = 10539236160. Its totient is φ = 567834624.

The previous prime is 2557200227. The next prime is 2557200257. The reversal of 2557200240 is 420027552.

2557200240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3915754 + ... + 3916406.

It is an arithmetic number, because the mean of its divisors is an integer number (21956742).

Almost surely, 2^2557200240 is an apocalyptic number.

2557200240 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 2557200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269618080).

2557200240 is an abundant number, since it is smaller than the sum of its proper divisors (7982035920).

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

2557200240 is a wasteful number, since it uses less digits than its factorization.

2557200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 2557200240 is about 50568.7674360370. The cubic root of 2557200240 is about 1367.4818751936.

Adding to 2557200240 its reverse (420027552), we get a palindrome (2977227792).

The spelling of 2557200240 in words is "two billion, five hundred fifty-seven million, two hundred thousand, two hundred forty".