2581482240 has 216 divisors, whose sum is σ = 8971876368. Its totient is φ = 685301760.

The previous prime is 2581482229. The next prime is 2581482247. The reversal of 2581482240 is 422841852.

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

It is a junction number, because it is equal to n+sod(n) for n = 2581482195 and 2581482204.

It is not an unprimeable number, because it can be changed into a prime (2581482247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3812782 + ... + 3813458.

Almost surely, 2^2581482240 is an apocalyptic number.

2581482240 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 2581482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4485938184).

2581482240 is an abundant number, since it is smaller than the sum of its proper divisors (6390394128).

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

2581482240 is a wasteful number, since it uses less digits than its factorization.

2581482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 2581482240 is about 50808.2890875101. The cubic root of 2581482240 is about 1371.7965738622.

The spelling of 2581482240 in words is "two billion, five hundred eighty-one million, four hundred eighty-two thousand, two hundred forty".