2557440000 has 520 divisors, whose sum is σ = 9723699920. Its totient is φ = 663552000.

The previous prime is 2557439977. The next prime is 2557440001. The reversal of 2557440000 is 447552.

2557440000 is a `hidden beast` number, since 255 + 7 + 4 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557440001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69119982 + ... + 69120018.

Almost surely, 2^2557440000 is an apocalyptic number.

2557440000 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 2557440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861849960).

2557440000 is an abundant number, since it is smaller than the sum of its proper divisors (7166259920).

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

2557440000 is an frugal number, since it uses more digits than its factorization.

2557440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

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

The square root of 2557440000 is about 50571.1380136931. The cubic root of 2557440000 is about 1367.5246116732.

Adding to 2557440000 its reverse (447552), we get a palindrome (2557887552).

The spelling of 2557440000 in words is "two billion, five hundred fifty-seven million, four hundred forty thousand".