2496026016 has 336 divisors, whose sum is σ = 8210196288. Its totient is φ = 740275200.

The previous prime is 2496025981. The next prime is 2496026017. The reversal of 2496026016 is 6106206942.

2496026016 is a `hidden beast` number, since 2 + 49 + 6 + 0 + 2 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

2496026016 is a modest number, since divided by 26016 gives 24960 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2496026017) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 18219100 + ... + 18219236.

It is an arithmetic number, because the mean of its divisors is an integer number (24435108).

Almost surely, 2^2496026016 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 2496026016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105098144).

2496026016 is an abundant number, since it is smaller than the sum of its proper divisors (5714170272).

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

2496026016 is a wasteful number, since it uses less digits than its factorization.

2496026016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2496026016 is about 49960.2443548868. The cubic root of 2496026016 is about 1356.4892901037.

The spelling of 2496026016 in words is "two billion, four hundred ninety-six million, twenty-six thousand, sixteen".