2513144000 has 168 divisors, whose sum is σ = 6617524992. Its totient is φ = 945254400.

The previous prime is 2513143993. The next prime is 2513144027. The reversal of 2513144000 is 4413152.

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

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, 2311457 + ... + 2312543.

Almost surely, 2^2513144000 is an apocalyptic number.

2513144000 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 2513144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308762496).

2513144000 is an abundant number, since it is smaller than the sum of its proper divisors (4104380992).

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

2513144000 is a wasteful number, since it uses less digits than its factorization.

2513144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 1111 counting only the distinct ones).

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

The square root of 2513144000 is about 50131.2676879410. The cubic root of 2513144000 is about 1359.5832056129.

Adding to 2513144000 its reverse (4413152), we get a palindrome (2517557152).

The spelling of 2513144000 in words is "two billion, five hundred thirteen million, one hundred forty-four thousand".