2563005666 has 48 divisors (see below), whose sum is σ = 5644861920. Its totient is φ = 775232640.

The previous prime is 2563005661. The next prime is 2563005671. The reversal of 2563005666 is 6665003652.

It is an interprime number because it is at equal distance from previous prime (2563005661) and next prime (2563005671).

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 (2563005661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38406 + ... + 81246.

It is an arithmetic number, because the mean of its divisors is an integer number (117601290).

Almost surely, 2^2563005666 is an apocalyptic number.

2563005666 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563005666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822430960).

2563005666 is an abundant number, since it is smaller than the sum of its proper divisors (3081856254).

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

2563005666 is a wasteful number, since it uses less digits than its factorization.

2563005666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42931 (or 42918 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 2563005666 is about 50626.1361946574. The cubic root of 2563005666 is about 1368.5159246768.

The spelling of 2563005666 in words is "two billion, five hundred sixty-three million, five thousand, six hundred sixty-six".