2582265420 has 240 divisors, whose sum is σ = 9412189248. Its totient is φ = 580400640.

The previous prime is 2582265383. The next prime is 2582265431. The reversal of 2582265420 is 245622852.

2582265420 is a `hidden beast` number, since 2 + 5 + 8 + 226 + 5 + 420 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 689874 + ... + 693606.

Almost surely, 2^2582265420 is an apocalyptic number.

2582265420 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 2582265420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706094624).

2582265420 is an abundant number, since it is smaller than the sum of its proper divisors (6829923828).

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

2582265420 is a wasteful number, since it uses less digits than its factorization.

2582265420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2582265420 is about 50815.9957100124. The cubic root of 2582265420 is about 1371.9352868071.

The spelling of 2582265420 in words is "two billion, five hundred eighty-two million, two hundred sixty-five thousand, four hundred twenty".