2582350240 has 96 divisors (see below), whose sum is σ = 6349628880. Its totient is φ = 991248384.

The previous prime is 2582350237. The next prime is 2582350261. The reversal of 2582350240 is 420532852.

It can be written as a sum of positive squares in 8 ways, for example, as 2243348496 + 339001744 = 47364^2 + 18412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801112 + ... + 804328.

Almost surely, 2^2582350240 is an apocalyptic number.

2582350240 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 2582350240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174814440).

2582350240 is an abundant number, since it is smaller than the sum of its proper divisors (3767278640).

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

2582350240 is a wasteful number, since it uses less digits than its factorization.

2582350240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 2582350240 is about 50816.8302828895. The cubic root of 2582350240 is about 1371.9503080201.

The spelling of 2582350240 in words is "two billion, five hundred eighty-two million, three hundred fifty thousand, two hundred forty".