2556603144 has 48 divisors (see below), whose sum is σ = 6947822700. Its totient is φ = 849285504.

The previous prime is 2556603131. The next prime is 2556603151. The reversal of 2556603144 is 4413066552.

2556603144 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 603 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2010446244 + 546156900 = 44838^2 + 23370^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2556603099 and 2556603108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39499 + ... + 81690.

Almost surely, 2^2556603144 is an apocalyptic number.

2556603144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2556603144 is an abundant number, since it is smaller than the sum of its proper divisors (4391219556).

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

2556603144 is a wasteful number, since it uses less digits than its factorization.

2556603144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121494 (or 121487 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2556603144 is about 50562.8632891770. The cubic root of 2556603144 is about 1367.3754330641.

Adding to 2556603144 its reverse (4413066552), we get a palindrome (6969669696).

The spelling of 2556603144 in words is "two billion, five hundred fifty-six million, six hundred three thousand, one hundred forty-four".