2572667540 has 24 divisors (see below), whose sum is σ = 5404917672. Its totient is φ = 1028625920.

The previous prime is 2572667527. The next prime is 2572667543. The reversal of 2572667540 is 457662752.

2572667540 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 408929284 + 2163738256 = 20222^2 + 46516^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2572667491 and 2572667500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572667543) 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, 22472 + ... + 75168.

It is an arithmetic number, because the mean of its divisors is an integer number (225204903).

Almost surely, 2^2572667540 is an apocalyptic number.

2572667540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2572667540 is an abundant number, since it is smaller than the sum of its proper divisors (2832250132).

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

2572667540 is a wasteful number, since it uses less digits than its factorization.

2572667540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55147 (or 55145 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 44.

The square root of 2572667540 is about 50721.4702073984. The cubic root of 2572667540 is about 1370.2334196556.

The spelling of 2572667540 in words is "two billion, five hundred seventy-two million, six hundred sixty-seven thousand, five hundred forty".