2556351000 has 192 divisors, whose sum is σ = 9875062080. Its totient is φ = 584294400.

The previous prime is 2556350999. The next prime is 2556351001. The reversal of 2556351000 is 1536552.

2556351000 is a `hidden beast` number, since 2 + 556 + 3 + 5 + 100 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2556350999) and next prime (2556351001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556351001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42712 + ... + 83288.

It is an arithmetic number, because the mean of its divisors is an integer number (51432615).

Almost surely, 2^2556351000 is an apocalyptic number.

2556351000 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 2556351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937531040).

2556351000 is an abundant number, since it is smaller than the sum of its proper divisors (7318711080).

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

2556351000 is a wasteful number, since it uses less digits than its factorization.

2556351000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40611 (or 40594 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 2556351000 is about 50560.3698562422. The cubic root of 2556351000 is about 1367.3304792944.

Adding to 2556351000 its reverse (1536552), we get a palindrome (2557887552).

The spelling of 2556351000 in words is "two billion, five hundred fifty-six million, three hundred fifty-one thousand".