2556351400 has 96 divisors (see below), whose sum is σ = 6069176280. Its totient is φ = 1001088000.

The previous prime is 2556351389. The next prime is 2556351403. The reversal of 2556351400 is 41536552.

2556351400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 70930084 + 2485421316 = 8422^2 + 49854^2 .

It is not an unprimeable number, because it can be changed into a prime (2556351403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3867070 + ... + 3867730.

Almost surely, 2^2556351400 is an apocalyptic number.

2556351400 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 2556351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034588140).

2556351400 is an abundant number, since it is smaller than the sum of its proper divisors (3512824880).

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

2556351400 is a wasteful number, since it uses less digits than its factorization.

2556351400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 2556351400 is about 50560.3738119093. The cubic root of 2556351400 is about 1367.3305506112.

Adding to 2556351400 its reverse (41536552), we get a palindrome (2597887952).

The spelling of 2556351400 in words is "two billion, five hundred fifty-six million, three hundred fifty-one thousand, four hundred".