2531782656 has 260 divisors, whose sum is σ = 8158825752. Its totient is φ = 777682944.

The previous prime is 2531782607. The next prime is 2531782657. The reversal of 2531782656 is 6562871352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531782657) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4312795 + ... + 4313381.

Almost surely, 2^2531782656 is an apocalyptic number.

2531782656 is a gapful number since it is divisible by the number (26) 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 2531782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079412876).

2531782656 is an abundant number, since it is smaller than the sum of its proper divisors (5627043096).

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

2531782656 is an equidigital number, since it uses as much as digits as its factorization.

2531782656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 605 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 2531782656 is about 50316.8227931772. The cubic root of 2531782656 is about 1362.9360329996.

The spelling of 2531782656 in words is "two billion, five hundred thirty-one million, seven hundred eighty-two thousand, six hundred fifty-six".