2563560480 has 192 divisors, whose sum is σ = 8882431488. Its totient is φ = 617533440.

The previous prime is 2563560451. The next prime is 2563560481. The reversal of 2563560480 is 840653652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2563560481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288910 + ... + 297650.

It is an arithmetic number, because the mean of its divisors is an integer number (46262664).

Almost surely, 2^2563560480 is an apocalyptic number.

2563560480 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 2563560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4441215744).

2563560480 is an abundant number, since it is smaller than the sum of its proper divisors (6318871008).

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

2563560480 is a wasteful number, since it uses less digits than its factorization.

2563560480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8811 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 2563560480 is about 50631.6154196170. The cubic root of 2563560480 is about 1368.6146651289.

The spelling of 2563560480 in words is "two billion, five hundred sixty-three million, five hundred sixty thousand, four hundred eighty".