2496224640 has 576 divisors, whose sum is σ = 10086359760. Its totient is φ = 523321344.

The previous prime is 2496224611. The next prime is 2496224683. The reversal of 2496224640 is 464226942.

It is a super-2 number, since 2×2496224640² = 12462274906686259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 15899442 + ... + 15899598.

Almost surely, 2^2496224640 is an apocalyptic number.

2496224640 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 2496224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043179880).

2496224640 is an abundant number, since it is smaller than the sum of its proper divisors (7590135120).

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

2496224640 is a wasteful number, since it uses less digits than its factorization.

2496224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 2496224640 is about 49962.2321358844. The cubic root of 2496224640 is about 1356.5252705222.

The spelling of 2496224640 in words is "two billion, four hundred ninety-six million, two hundred twenty-four thousand, six hundred forty".