2557400040 has 384 divisors, whose sum is σ = 9550719360. Its totient is φ = 611380224.

The previous prime is 2557400023. The next prime is 2557400047. The reversal of 2557400040 is 400047552.

2557400040 is a `hidden beast` number, since 255 + 7 + 400 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2557399977 and 2557400013.

It is not an unprimeable number, because it can be changed into a prime (2557400047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4675047 + ... + 4675593.

It is an arithmetic number, because the mean of its divisors is an integer number (24871665).

Almost surely, 2^2557400040 is an apocalyptic number.

2557400040 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 2557400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775359680).

2557400040 is an abundant number, since it is smaller than the sum of its proper divisors (6993319320).

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

2557400040 is a wasteful number, since it uses less digits than its factorization.

2557400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 607 counting only the distinct ones).

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

The square root of 2557400040 is about 50570.7429251341. The cubic root of 2557400040 is about 1367.5174891121.

Adding to 2557400040 its reverse (400047552), we get a palindrome (2957447592).

The spelling of 2557400040 in words is "two billion, five hundred fifty-seven million, four hundred thousand, forty".