2512413200 has 120 divisors (see below), whose sum is σ = 6725462400. Its totient is φ = 894092800.

The previous prime is 2512413181. The next prime is 2512413209. The reversal of 2512413200 is 23142152.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2512413209) 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, 200726 + ... + 212874.

It is an arithmetic number, because the mean of its divisors is an integer number (56045520).

Almost surely, 2^2512413200 is an apocalyptic number.

2512413200 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 2512413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3362731200).

2512413200 is an abundant number, since it is smaller than the sum of its proper divisors (4213049200).

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

2512413200 is a wasteful number, since it uses less digits than its factorization.

2512413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12225 (or 12214 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2512413200 is about 50123.9782938266. The cubic root of 2512413200 is about 1359.4514079217.

Adding to 2512413200 its reverse (23142152), we get a palindrome (2535555352).

The spelling of 2512413200 in words is "two billion, five hundred twelve million, four hundred thirteen thousand, two hundred".