2512424000 has 112 divisors (see below), whose sum is σ = 6244346160. Its totient is φ = 1001369600.

The previous prime is 2512423993. The next prime is 2512424003. The reversal of 2512424000 is 4242152.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1151109184 + 1361314816 = 33928^2 + 36896^2 .

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 (2512424003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4071692 + ... + 4072308.

Almost surely, 2^2512424000 is an apocalyptic number.

2512424000 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 2512424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122173080).

2512424000 is an abundant number, since it is smaller than the sum of its proper divisors (3731922160).

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

2512424000 is an equidigital number, since it uses as much as digits as its factorization.

2512424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2512424000 is about 50124.0860265801. The cubic root of 2512424000 is about 1359.4533558568.

Adding to 2512424000 its reverse (4242152), we get a palindrome (2516666152).

The spelling of 2512424000 in words is "two billion, five hundred twelve million, four hundred twenty-four thousand".