2513244400 has 180 divisors, whose sum is σ = 6481968064. Its totient is φ = 935424000.

The previous prime is 2513244367. The next prime is 2513244403. The reversal of 2513244400 is 44423152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2513244403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10428280 + ... + 10428520.

Almost surely, 2^2513244400 is an apocalyptic number.

2513244400 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 2513244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240984032).

2513244400 is an abundant number, since it is smaller than the sum of its proper divisors (3968723664).

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

2513244400 is a wasteful number, since it uses less digits than its factorization.

2513244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2513244400 is about 50132.2690489868. The cubic root of 2513244400 is about 1359.6013104696.

Adding to 2513244400 its reverse (44423152), we get a palindrome (2557667552).

The spelling of 2513244400 in words is "two billion, five hundred thirteen million, two hundred forty-four thousand, four hundred".