2563202880 has 672 divisors, whose sum is σ = 11103595776. Its totient is φ = 549421056.

The previous prime is 2563202849. The next prime is 2563202893. The reversal of 2563202880 is 882023652.

2563202880 is a `hidden beast` number, since 2 + 56 + 320 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9253302 + ... + 9253578.

It is an arithmetic number, because the mean of its divisors is an integer number (16523208).

Almost surely, 2^2563202880 is an apocalyptic number.

2563202880 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 2563202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551797888).

2563202880 is an abundant number, since it is smaller than the sum of its proper divisors (8540392896).

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

2563202880 is a wasteful number, since it uses less digits than its factorization.

2563202880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2563202880 is about 50628.0839060694. The cubic root of 2563202880 is about 1368.5510245573.

The spelling of 2563202880 in words is "two billion, five hundred sixty-three million, two hundred two thousand, eight hundred eighty".