2556487962 has 192 divisors, whose sum is σ = 6861254400. Its totient is φ = 671846400.

The previous prime is 2556487957. The next prime is 2556487963. The reversal of 2556487962 is 2697846552.

2556487962 is a `hidden beast` number, since 2 + 5 + 564 + 8 + 79 + 6 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2556487899 and 2556487908.

It is not an unprimeable number, because it can be changed into a prime (2556487963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23453964 + ... + 23454072.

It is an arithmetic number, because the mean of its divisors is an integer number (35735700).

Almost surely, 2^2556487962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556487962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3430627200).

2556487962 is an abundant number, since it is smaller than the sum of its proper divisors (4304766438).

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

2556487962 is a wasteful number, since it uses less digits than its factorization.

2556487962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 338 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 2556487962 is about 50561.7242783511. The cubic root of 2556487962 is about 1367.3548980816.

It can be divided in two parts, 25564 and 87962, that added together give a triangular number (113526 = T₄₇₆).

The spelling of 2556487962 in words is "two billion, five hundred fifty-six million, four hundred eighty-seven thousand, nine hundred sixty-two".