2580133248 has 768 divisors, whose sum is σ = 10310976000. Its totient is φ = 598671360.

The previous prime is 2580133207. The next prime is 2580133271. The reversal of 2580133248 is 8423310852.

2580133248 is a `hidden beast` number, since 2 + 580 + 1 + 3 + 32 + 48 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43731043 + ... + 43731101.

It is an arithmetic number, because the mean of its divisors is an integer number (13425750).

Almost surely, 2^2580133248 is an apocalyptic number.

2580133248 is a gapful number since it is divisible by the number (28) 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 2580133248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155488000).

2580133248 is an abundant number, since it is smaller than the sum of its proper divisors (7730842752).

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

2580133248 is a wasteful number, since it uses less digits than its factorization.

2580133248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2580133248 is about 50795.0120385850. The cubic root of 2580133248 is about 1371.5575813161.

It can be divided in two parts, 25801 and 33248, that added together give a 10-th power (59049 = 3¹⁰).

The spelling of 2580133248 in words is "two billion, five hundred eighty million, one hundred thirty-three thousand, two hundred forty-eight".