2563246080 has 384 divisors, whose sum is σ = 9309081600. Its totient is φ = 668860416.

The previous prime is 2563246079. The next prime is 2563246141. The reversal of 2563246080 is 806423652.

2563246080 is a `hidden beast` number, since 25 + 6 + 3 + 24 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20182977 + ... + 20183103.

It is an arithmetic number, because the mean of its divisors is an integer number (24242400).

Almost surely, 2^2563246080 is an apocalyptic number.

2563246080 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 2563246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654540800).

2563246080 is an abundant number, since it is smaller than the sum of its proper divisors (6745835520).

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

2563246080 is a wasteful number, since it uses less digits than its factorization.

2563246080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2563246080 is about 50628.5105449489. The cubic root of 2563246080 is about 1368.5587129943.

The spelling of 2563246080 in words is "two billion, five hundred sixty-three million, two hundred forty-six thousand, eighty".