2496435480 has 192 divisors, whose sum is σ = 10115539200. Its totient is φ = 518734080.

The previous prime is 2496435467. The next prime is 2496435481. The reversal of 2496435480 is 845346942.

2496435480 is a `hidden beast` number, since 2 + 49 + 64 + 3 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2496435481) 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 47 ways as a sum of consecutive naturals, for example, 17310 + ... + 72749.

It is an arithmetic number, because the mean of its divisors is an integer number (52685100).

Almost surely, 2^2496435480 is an apocalyptic number.

2496435480 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 2496435480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057769600).

2496435480 is an abundant number, since it is smaller than the sum of its proper divisors (7619103720).

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

2496435480 is a wasteful number, since it uses less digits than its factorization.

2496435480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90094 (or 90087 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2496435480 is about 49964.3420851311. The cubic root of 2496435480 is about 1356.5634617613.

The spelling of 2496435480 in words is "two billion, four hundred ninety-six million, four hundred thirty-five thousand, four hundred eighty".