2564002444240 has 20 divisors (see below), whose sum is σ = 5961305683044. Its totient is φ = 1025600977664.

The previous prime is 2564002444231. The next prime is 2564002444249. The reversal of 2564002444240 is 424442004652.

It is an interprime number because it is at equal distance from previous prime (2564002444231) and next prime (2564002444249).

It can be written as a sum of positive squares in 2 ways, for example, as 1193145505344 + 1370856938896 = 1092312^2 + 1170836^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 2564002444240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2564002444249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16025015197 + ... + 16025015356.

Almost surely, 2^{2564002444240} is an apocalyptic number.

2564002444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2564002444240 is an abundant number, since it is smaller than the sum of its proper divisors (3397303238804).

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

2564002444240 is a wasteful number, since it uses less digits than its factorization.

2564002444240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32050030566 (or 32050030560 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 2564002444240 its reverse (424442004652), we get a palindrome (2988444448892).

The spelling of 2564002444240 in words is "two trillion, five hundred sixty-four billion, two million, four hundred forty-four thousand, two hundred forty".