2471249088 has 560 divisors, whose sum is σ = 9417881088. Its totient is φ = 622080000.

The previous prime is 2471249083. The next prime is 2471249089. The reversal of 2471249088 is 8809421742.

It is a super-2 number, since 2×2471249088² = 12214144109881663488, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2471249083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16365813 + ... + 16365963.

Almost surely, 2^2471249088 is an apocalyptic number.

2471249088 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 2471249088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708940544).

2471249088 is an abundant number, since it is smaller than the sum of its proper divisors (6946632000).

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

2471249088 is a wasteful number, since it uses less digits than its factorization.

2471249088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2471249088 is about 49711.6594774304. The cubic root of 2471249088 is about 1351.9859363872.

The spelling of 2471249088 in words is "two billion, four hundred seventy-one million, two hundred forty-nine thousand, eighty-eight".