2565143040 has 160 divisors (see below), whose sum is σ = 8228848320. Its totient is φ = 681672704.

The previous prime is 2565143023. The next prime is 2565143071. The reversal of 2565143040 is 403415652.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2565142989 and 2565143007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4369627 + ... + 4370213.

It is an arithmetic number, because the mean of its divisors is an integer number (51430302).

Almost surely, 2^2565143040 is an apocalyptic number.

2565143040 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 2565143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4114424160).

2565143040 is an abundant number, since it is smaller than the sum of its proper divisors (5663705280).

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

2565143040 is an equidigital number, since it uses as much as digits as its factorization.

2565143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2565143040 is about 50647.2411884399. The cubic root of 2565143040 is about 1368.8962356633.

Adding to 2565143040 its reverse (403415652), we get a palindrome (2968558692).

The spelling of 2565143040 in words is "two billion, five hundred sixty-five million, one hundred forty-three thousand, forty".