2512265600 has 192 divisors, whose sum is σ = 6749099280. Its totient is φ = 918528000.

The previous prime is 2512265599. The next prime is 2512265641. The reversal of 2512265600 is 65622152.

It is a super-2 number, since 2×2512265600² = 12622956889886720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5449370 + ... + 5449830.

Almost surely, 2^2512265600 is an apocalyptic number.

2512265600 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 2512265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374549640).

2512265600 is an abundant number, since it is smaller than the sum of its proper divisors (4236833680).

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

2512265600 is a wasteful number, since it uses less digits than its factorization.

2512265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 2512265600 is about 50122.5059229883. The cubic root of 2512265600 is about 1359.4247855814.

Adding to 2512265600 its reverse (65622152), we get a palindrome (2577887752).

The spelling of 2512265600 in words is "two billion, five hundred twelve million, two hundred sixty-five thousand, six hundred".