2565341424 has 120 divisors (see below), whose sum is σ = 7463553552. Its totient is φ = 821836800.

The previous prime is 2565341369. The next prime is 2565341447. The reversal of 2565341424 is 4241435652.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439324 + ... + 445124.

Almost surely, 2^2565341424 is an apocalyptic number.

2565341424 is a gapful number since it is divisible by the number (24) 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 2565341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731776776).

2565341424 is an abundant number, since it is smaller than the sum of its proper divisors (4898212128).

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

2565341424 is a wasteful number, since it uses less digits than its factorization.

2565341424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5926 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2565341424 is about 50649.1996382964. The cubic root of 2565341424 is about 1368.9315241581.

The spelling of 2565341424 in words is "two billion, five hundred sixty-five million, three hundred forty-one thousand, four hundred twenty-four".