2566465200 has 720 divisors, whose sum is σ = 10410167040. Its totient is φ = 580608000.

The previous prime is 2566465199. The next prime is 2566465201. The reversal of 2566465200 is 25646652.

2566465200 is a `hidden beast` number, since 2 + 5 + 6 + 646 + 5 + 2 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2566465199) and next prime (2566465201).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2566465200² = 13173487245622080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2566465201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42073170 + ... + 42073230.

Almost surely, 2^2566465200 is an apocalyptic number.

2566465200 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 2566465200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205083520).

2566465200 is an abundant number, since it is smaller than the sum of its proper divisors (7843701840).

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

2566465200 is a wasteful number, since it uses less digits than its factorization.

2566465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2566465200 is about 50660.2921428608. The cubic root of 2566465200 is about 1369.1313868091.

The spelling of 2566465200 in words is "two billion, five hundred sixty-six million, four hundred sixty-five thousand, two hundred".