2580040320 has 256 divisors, whose sum is σ = 9662647680. Its totient is φ = 577290240.

The previous prime is 2580040319. The next prime is 2580040327. The reversal of 2580040320 is 230400852.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2580040327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269862 + ... + 279258.

Almost surely, 2^2580040320 is an apocalyptic number.

2580040320 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 2580040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4831323840).

2580040320 is an abundant number, since it is smaller than the sum of its proper divisors (7082607360).

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

2580040320 is a wasteful number, since it uses less digits than its factorization.

2580040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9443 (or 9431 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2580040320 is about 50794.0972948629. The cubic root of 2580040320 is about 1371.5411147721.

The spelling of 2580040320 in words is "two billion, five hundred eighty million, forty thousand, three hundred twenty".