2492743680 has 720 divisors, whose sum is σ = 10758061440. Its totient is φ = 544997376.

The previous prime is 2492743621. The next prime is 2492743699. The reversal of 2492743680 is 863472942.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108380149 + ... + 108380171.

It is an arithmetic number, because the mean of its divisors is an integer number (14941752).

Almost surely, 2^2492743680 is an apocalyptic number.

2492743680 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 2492743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5379030720).

2492743680 is an abundant number, since it is smaller than the sum of its proper divisors (8265317760).

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

2492743680 is an equidigital number, since it uses as much as digits as its factorization.

2492743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2492743680 is about 49927.3840692660. The cubic root of 2492743680 is about 1355.8944236073.

The spelling of 2492743680 in words is "two billion, four hundred ninety-two million, seven hundred forty-three thousand, six hundred eighty".