2580501900 has 144 divisors (see below), whose sum is σ = 7594763904. Its totient is φ = 676408320.

The previous prime is 2580501883. The next prime is 2580501901. The reversal of 2580501900 is 91050852.

It is a super-4 number, since 4×2580501900⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2580501901) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5525467 + ... + 5525933.

It is an arithmetic number, because the mean of its divisors is an integer number (52741416).

Almost surely, 2^2580501900 is an apocalyptic number.

2580501900 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 2580501900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797381952).

2580501900 is an abundant number, since it is smaller than the sum of its proper divisors (5014262004).

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

2580501900 is a wasteful number, since it uses less digits than its factorization.

2580501900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 2580501900 is about 50798.6407298463. The cubic root of 2580501900 is about 1371.6229013748.

The spelling of 2580501900 in words is "two billion, five hundred eighty million, five hundred one thousand, nine hundred".