2520207360 has 468 divisors, whose sum is σ = 9686971476. Its totient is φ = 605552640.

The previous prime is 2520207353. The next prime is 2520207379. The reversal of 2520207360 is 637020252.

It can be written as a sum of positive squares in 2 ways, for example, as 361304064 + 2158903296 = 19008^2 + 46464^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22302664 + ... + 22302776.

It is an arithmetic number, because the mean of its divisors is an integer number (20698657).

Almost surely, 2^2520207360 is an apocalyptic number.

2520207360 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 2520207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843485738).

2520207360 is an abundant number, since it is smaller than the sum of its proper divisors (7166764116).

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

2520207360 is a wasteful number, since it uses less digits than its factorization.

2520207360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2520207360 is about 50201.6669045959. Note that the first 3 decimals coincide. The cubic root of 2520207360 is about 1360.8557474723.

The spelling of 2520207360 in words is "two billion, five hundred twenty million, two hundred seven thousand, three hundred sixty".