2482549440 has 448 divisors, whose sum is σ = 9859719168. Its totient is φ = 516096000.

The previous prime is 2482549439. The next prime is 2482549453. The reversal of 2482549440 is 449452842.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2482549392 and 2482549401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3541090 + ... + 3541790.

Almost surely, 2^2482549440 is an apocalyptic number.

2482549440 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 2482549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929859584).

2482549440 is an abundant number, since it is smaller than the sum of its proper divisors (7377169728).

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

2482549440 is a wasteful number, since it uses less digits than its factorization.

2482549440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 2482549440 is about 49825.1888104802. The cubic root of 2482549440 is about 1354.0435582833.

The spelling of 2482549440 in words is "two billion, four hundred eighty-two million, five hundred forty-nine thousand, four hundred forty".