2565624403040 has 96 divisors (see below), whose sum is σ = 6137784797760. Its totient is φ = 1013362182144.

The previous prime is 2565624403003. The next prime is 2565624403063. The reversal of 2565624403040 is 403044265652.

It is a super-2 number, since 2×2565624403040² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4858877 + ... + 5360963.

It is an arithmetic number, because the mean of its divisors is an integer number (63935258310).

Almost surely, 2^{2565624403040} is an apocalyptic number.

2565624403040 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 2565624403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3068892398880).

2565624403040 is an abundant number, since it is smaller than the sum of its proper divisors (3572160394720).

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

2565624403040 is a wasteful number, since it uses less digits than its factorization.

2565624403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502504 (or 502496 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 2565624403040 its reverse (403044265652), we get a palindrome (2968668668692).

The spelling of 2565624403040 in words is "two trillion, five hundred sixty-five billion, six hundred twenty-four million, four hundred three thousand, forty".