2565681300 has 216 divisors, whose sum is σ = 9898144256. Its totient is φ = 541313280.

The previous prime is 2565681277. The next prime is 2565681323. The reversal of 2565681300 is 31865652.

2565681300 is a `hidden beast` number, since 2 + 565 + 68 + 1 + 30 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2565681277) and next prime (2565681323).

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 71 ways as a sum of consecutive naturals, for example, 66237 + ... + 97563.

Almost surely, 2^2565681300 is an apocalyptic number.

2565681300 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 2565681300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949072128).

2565681300 is an abundant number, since it is smaller than the sum of its proper divisors (7332462956).

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

2565681300 is a wasteful number, since it uses less digits than its factorization.

2565681300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31367 (or 31357 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2565681300 is about 50652.5547233306. The cubic root of 2565681300 is about 1368.9919769852.

It can be divided in two parts, 2565 and 681300, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 2565681300 in words is "two billion, five hundred sixty-five million, six hundred eighty-one thousand, three hundred".