2565248400 has 720 divisors, whose sum is σ = 10879442560. Its totient is φ = 570240000.

The previous prime is 2565248393. The next prime is 2565248407. The reversal of 2565248400 is 48425652.

It is a happy number.

2565248400 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 248 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (2565248393) and next prime (2565248407).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (2565248407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16988325 + ... + 16988475.

Almost surely, 2^2565248400 is an apocalyptic number.

2565248400 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 2565248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439721280).

2565248400 is an abundant number, since it is smaller than the sum of its proper divisors (8314194160).

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

2565248400 is a wasteful number, since it uses less digits than its factorization.

2565248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2565248400 is about 50648.2813133871. The cubic root of 2565248400 is about 1368.9149772995.

The spelling of 2565248400 in words is "two billion, five hundred sixty-five million, two hundred forty-eight thousand, four hundred".