2565438480 has 640 divisors, whose sum is σ = 10307911680. Its totient is φ = 587865600.

The previous prime is 2565438467. The next prime is 2565438487. The reversal of 2565438480 is 848345652.

2565438480 is a `hidden beast` number, since 2 + 565 + 4 + 3 + 8 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565438487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59661339 + ... + 59661381.

It is an arithmetic number, because the mean of its divisors is an integer number (16106112).

Almost surely, 2^2565438480 is an apocalyptic number.

2565438480 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 2565438480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153955840).

2565438480 is an abundant number, since it is smaller than the sum of its proper divisors (7742473200).

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

2565438480 is a wasteful number, since it uses less digits than its factorization.

2565438480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 2565438480 is about 50650.1577490140. The cubic root of 2565438480 is about 1368.9487877916.

The spelling of 2565438480 in words is "two billion, five hundred sixty-five million, four hundred thirty-eight thousand, four hundred eighty".