2563894620 has 180 divisors, whose sum is σ = 9356470200. Its totient is φ = 586014912.

The previous prime is 2563894609. The next prime is 2563894633. The reversal of 2563894620 is 264983652.

2563894620 is a `hidden beast` number, since 2 + 5 + 638 + 9 + 4 + 6 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63231 + ... + 95529.

It is an arithmetic number, because the mean of its divisors is an integer number (51980390).

Almost surely, 2^2563894620 is an apocalyptic number.

2563894620 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 2563894620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4678235100).

2563894620 is an abundant number, since it is smaller than the sum of its proper divisors (6792575580).

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

2563894620 is a wasteful number, since it uses less digits than its factorization.

2563894620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32334 (or 32316 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2563894620 is about 50634.9150290588. The cubic root of 2563894620 is about 1368.6741252743.

The spelling of 2563894620 in words is "two billion, five hundred sixty-three million, eight hundred ninety-four thousand, six hundred twenty".