2556321000 has 128 divisors (see below), whose sum is σ = 8251027200. Its totient is φ = 658156800.

The previous prime is 2556320989. The next prime is 2556321011. The reversal of 2556321000 is 1236552.

2556321000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2556320989) and next prime (2556321011).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72309 + ... + 101691.

It is an arithmetic number, because the mean of its divisors is an integer number (64461150).

Almost surely, 2^2556321000 is an apocalyptic number.

2556321000 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 2556321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125513600).

2556321000 is an abundant number, since it is smaller than the sum of its proper divisors (5694706200).

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

2556321000 is a wasteful number, since it uses less digits than its factorization.

2556321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29436 (or 29422 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2556321000 is about 50560.0731803268. The cubic root of 2556321000 is about 1367.3251305148.

Adding to 2556321000 its reverse (1236552), we get a palindrome (2557557552).

The spelling of 2556321000 in words is "two billion, five hundred fifty-six million, three hundred twenty-one thousand".