2531677248 has 224 divisors, whose sum is σ = 7756062720. Its totient is φ = 808911360.

The previous prime is 2531677243. The next prime is 2531677277. The reversal of 2531677248 is 8427761352.

2531677248 is a `hidden beast` number, since 2 + 531 + 6 + 7 + 72 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (2531677243) 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 31 ways as a sum of consecutive naturals, for example, 8945715 + ... + 8945997.

It is an arithmetic number, because the mean of its divisors is an integer number (34625280).

Almost surely, 2^2531677248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531677248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3878031360).

2531677248 is an abundant number, since it is smaller than the sum of its proper divisors (5224385472).

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

2531677248 is a wasteful number, since it uses less digits than its factorization.

2531677248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 486 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2531677248 is about 50315.7753393506. The cubic root of 2531677248 is about 1362.9171179537.

The spelling of 2531677248 in words is "two billion, five hundred thirty-one million, six hundred seventy-seven thousand, two hundred forty-eight".