2496000000 has 364 divisors, whose sum is σ = 8958791576. Its totient is φ = 614400000.

The previous prime is 2495999969. The next prime is 2496000019. The reversal of 2496000000 is 6942.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 191999994 + ... + 192000006.

Almost surely, 2^2496000000 is an apocalyptic number.

2496000000 is a gapful number since it is divisible by the number (20) 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 2496000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479395788).

2496000000 is an abundant number, since it is smaller than the sum of its proper divisors (6462791576).

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

2496000000 is an frugal number, since it uses more digits than its factorization.

2496000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2496000000 is about 49959.9839871872. The cubic root of 2496000000 is about 1356.4845772057.

Adding to 2496000000 its reverse (6942), we get a palindrome (2496006942).

It can be divided in two parts, 24 and 96000000, that multiplied together give a square (2304000000 = 48000²).

The spelling of 2496000000 in words is "two billion, four hundred ninety-six million", and thus it is an aban number.