2565134424 has 96 divisors (see below), whose sum is σ = 7151476800. Its totient is φ = 830269440.

The previous prime is 2565134417. The next prime is 2565134431. The reversal of 2565134424 is 4244315652.

It is an interprime number because it is at equal distance from previous prime (2565134417) and next prime (2565134431).

It is a super-2 number, since 2×2565134424² = 13159829226379623552, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343272 + ... + 350664.

It is an arithmetic number, because the mean of its divisors is an integer number (74494550).

Almost surely, 2^2565134424 is an apocalyptic number.

2565134424 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 2565134424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575738400).

2565134424 is an abundant number, since it is smaller than the sum of its proper divisors (4586342376).

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

2565134424 is a wasteful number, since it uses less digits than its factorization.

2565134424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545 (or 7538 counting only the distinct ones).

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

The square root of 2565134424 is about 50647.1561294413. The cubic root of 2565134424 is about 1368.8947030102.

The spelling of 2565134424 in words is "two billion, five hundred sixty-five million, one hundred thirty-four thousand, four hundred twenty-four".