2556486144 has 160 divisors (see below), whose sum is σ = 7646474880. Its totient is φ = 843264000.

The previous prime is 2556486089. The next prime is 2556486187. The reversal of 2556486144 is 4416846552.

It is a happy number.

2556486144 is a `hidden beast` number, since 2 + 5 + 564 + 86 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2556486144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395309 + ... + 1397139.

It is an arithmetic number, because the mean of its divisors is an integer number (47790468).

Almost surely, 2^2556486144 is an apocalyptic number.

2556486144 is a gapful number since it is divisible by the number (24) 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 2556486144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823237440).

2556486144 is an abundant number, since it is smaller than the sum of its proper divisors (5089988736).

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

2556486144 is a wasteful number, since it uses less digits than its factorization.

2556486144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1937 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 2556486144 is about 50561.7063003218. The cubic root of 2556486144 is about 1367.3545739583.

The spelling of 2556486144 in words is "two billion, five hundred fifty-six million, four hundred eighty-six thousand, one hundred forty-four".