2557251040 has 96 divisors (see below), whose sum is σ = 6422008320. Its totient is φ = 959537664.

The previous prime is 2557251023. The next prime is 2557251107. The reversal of 2557251040 is 401527552.

It is a junction number, because it is equal to n+sod(n) for n = 2557250993 and 2557251011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309037 + ... + 317203.

It is an arithmetic number, because the mean of its divisors is an integer number (66895920).

Almost surely, 2^2557251040 is an apocalyptic number.

2557251040 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 2557251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211004160).

2557251040 is an abundant number, since it is smaller than the sum of its proper divisors (3864757280).

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

2557251040 is a wasteful number, since it uses less digits than its factorization.

2557251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 31.

The square root of 2557251040 is about 50569.2697198605. The cubic root of 2557251040 is about 1367.4909303597.

Adding to 2557251040 its reverse (401527552), we get a palindrome (2958778592).

The spelling of 2557251040 in words is "two billion, five hundred fifty-seven million, two hundred fifty-one thousand, forty".