2566867968 has 220 divisors, whose sum is σ = 8762175312. Its totient is φ = 733224960.

The previous prime is 2566867949. The next prime is 2566867973. The reversal of 2566867968 is 8697686652.

2566867968 is a `hidden beast` number, since 2 + 566 + 8 + 6 + 7 + 9 + 68 = 666.

It is a super-2 number, since 2×2566867968² = 13177622330288898048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 578398 + ... + 582818.

Almost surely, 2^2566867968 is an apocalyptic number.

2566867968 is a gapful number since it is divisible by the number (28) 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 2566867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381087656).

2566867968 is an abundant number, since it is smaller than the sum of its proper divisors (6195307344).

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

2566867968 is an equidigital number, since it uses as much as digits as its factorization.

2566867968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460 (or 4433 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 2566867968 is about 50664.2671712520. The cubic root of 2566867968 is about 1369.2030045691.

It can be divided in two parts, 25668 and 67968, that added together give a square (93636 = 306²).

The spelling of 2566867968 in words is "two billion, five hundred sixty-six million, eight hundred sixty-seven thousand, nine hundred sixty-eight".