2491177248 has 432 divisors, whose sum is σ = 8975201760. Its totient is φ = 670166784.

The previous prime is 2491177217. The next prime is 2491177277. The reversal of 2491177248 is 8427711942.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 15283215 + ... + 15283377.

It is an arithmetic number, because the mean of its divisors is an integer number (20775930).

Almost surely, 2^2491177248 is an apocalyptic number.

2491177248 is a gapful number since it is divisible by the number (28) 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 2491177248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487600880).

2491177248 is an abundant number, since it is smaller than the sum of its proper divisors (6484024512).

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

2491177248 is a wasteful number, since it uses less digits than its factorization.

2491177248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 194 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 2491177248 is about 49911.6945013892. The cubic root of 2491177248 is about 1355.6103508840.

The spelling of 2491177248 in words is "two billion, four hundred ninety-one million, one hundred seventy-seven thousand, two hundred forty-eight".