2556503040 has 704 divisors, whose sum is σ = 10564485120. Its totient is φ = 513146880.

The previous prime is 2556503039. The next prime is 2556503041. The reversal of 2556503040 is 403056552.

It is an interprime number because it is at equal distance from previous prime (2556503039) and next prime (2556503041).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2556502989 and 2556503007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556503041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43330531 + ... + 43330589.

Almost surely, 2^2556503040 is an apocalyptic number.

2556503040 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 2556503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282242560).

2556503040 is an abundant number, since it is smaller than the sum of its proper divisors (8007982080).

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

2556503040 is a wasteful number, since it uses less digits than its factorization.

2556503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 2556503040 is about 50561.8733830146. The cubic root of 2556503040 is about 1367.3575862664.

Adding to 2556503040 its reverse (403056552), we get a palindrome (2959559592).

The spelling of 2556503040 in words is "two billion, five hundred fifty-six million, five hundred three thousand, forty".