2496086208 has 336 divisors, whose sum is σ = 9000036864. Its totient is φ = 642539520.

The previous prime is 2496086167. The next prime is 2496086227. The reversal of 2496086208 is 8026806942.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 7406616 + ... + 7406952.

It is an arithmetic number, because the mean of its divisors is an integer number (26785824).

Almost surely, 2^2496086208 is an apocalyptic number.

2496086208 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 2496086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500018432).

2496086208 is an abundant number, since it is smaller than the sum of its proper divisors (6503950656).

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

2496086208 is a wasteful number, since it uses less digits than its factorization.

2496086208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2496086208 is about 49960.8467502303. The cubic root of 2496086208 is about 1356.5001939893.

The spelling of 2496086208 in words is "two billion, four hundred ninety-six million, eighty-six thousand, two hundred eight".