2563440000 has 320 divisors, whose sum is σ = 9291775680. Its totient is φ = 620800000.

The previous prime is 2563439993. The next prime is 2563440037. The reversal of 2563440000 is 443652.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2639515 + ... + 2640485.

It is an arithmetic number, because the mean of its divisors is an integer number (29036799).

Almost surely, 2^2563440000 is an apocalyptic number.

2563440000 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 2563440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645887840).

2563440000 is an abundant number, since it is smaller than the sum of its proper divisors (6728335680).

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

2563440000 is an equidigital number, since it uses as much as digits as its factorization.

2563440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2563440000 is about 50630.4256351850. The cubic root of 2563440000 is about 1368.5932244699.

Adding to 2563440000 its reverse (443652), we get a palindrome (2563883652).

The spelling of 2563440000 in words is "two billion, five hundred sixty-three million, four hundred forty thousand".