2520403200 has 972 divisors, whose sum is σ = 11268653760. Its totient is φ = 534159360.

The previous prime is 2520403177. The next prime is 2520403201. The reversal of 2520403200 is 23040252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2520403201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 53625577 + ... + 53625623.

Almost surely, 2^2520403200 is an apocalyptic number.

2520403200 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 2520403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634326880).

2520403200 is an abundant number, since it is smaller than the sum of its proper divisors (8748250560).

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

2520403200 is a wasteful number, since it uses less digits than its factorization.

2520403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2520403200 is about 50203.6173995460. The cubic root of 2520403200 is about 1360.8909963028.

Adding to 2520403200 its reverse (23040252), we get a palindrome (2543443452).

The spelling of 2520403200 in words is "two billion, five hundred twenty million, four hundred three thousand, two hundred".