2491984128 has 144 divisors (see below), whose sum is σ = 7021679616. Its totient is φ = 782960640.

The previous prime is 2491984127. The next prime is 2491984153. The reversal of 2491984128 is 8214891942.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2491984127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253151 + ... + 1255137.

It is an arithmetic number, because the mean of its divisors is an integer number (48761664).

Almost surely, 2^2491984128 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 2491984128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510839808).

2491984128 is an abundant number, since it is smaller than the sum of its proper divisors (4529695488).

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

2491984128 is a wasteful number, since it uses less digits than its factorization.

2491984128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2086 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 2491984128 is about 49919.7769225785. The cubic root of 2491984128 is about 1355.7566935831.

The spelling of 2491984128 in words is "two billion, four hundred ninety-one million, nine hundred eighty-four thousand, one hundred twenty-eight".