2581529540 has 24 divisors (see below), whose sum is σ = 5608151640. Its totient is φ = 997004288.

The previous prime is 2581529521. The next prime is 2581529549. The reversal of 2581529540 is 459251852.

2581529540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 377602624 + 2203926916 = 19432^2 + 46946^2 .

It is a super-2 number, since 2×2581529540² = 13328589531785223200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2581529549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2224877 + ... + 2226036.

It is an arithmetic number, because the mean of its divisors is an integer number (233672985).

Almost surely, 2^2581529540 is an apocalyptic number.

2581529540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2581529540 is an abundant number, since it is smaller than the sum of its proper divisors (3026622100).

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

2581529540 is a wasteful number, since it uses less digits than its factorization.

2581529540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4450951 (or 4450949 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 41.

The square root of 2581529540 is about 50808.7545606070. The cubic root of 2581529540 is about 1371.8049521989.

It can be divided in two parts, 25815 and 29540, that added together give a palindrome (55355).

The spelling of 2581529540 in words is "two billion, five hundred eighty-one million, five hundred twenty-nine thousand, five hundred forty".