2520473760 has 540 divisors, whose sum is σ = 10419434298. Its totient is φ = 576108288.

The previous prime is 2520473759. The next prime is 2520473783. The reversal of 2520473760 is 673740252.

It is a happy number.

2520473760 is a `hidden beast` number, since 2 + 520 + 4 + 73 + 7 + 60 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2268426384 + 252047376 = 47628^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 89 ways as a sum of consecutive naturals, for example, 360067677 + ... + 360067683.

Almost surely, 2^2520473760 is an apocalyptic number.

2520473760 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 2520473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209717149).

2520473760 is an abundant number, since it is smaller than the sum of its proper divisors (7898960538).

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

2520473760 is an frugal number, since it uses more digits than its factorization.

2520473760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2520473760 is about 50204.3201328332. The cubic root of 2520473760 is about 1360.9036958017.

Multiplying 2520473760 by its product of nonzero digits (70560), we get a square (177844628505600 = 13335840²).

2520473760 divided by its product of nonzero digits (70560) gives a square (35721 = 189²).

The spelling of 2520473760 in words is "two billion, five hundred twenty million, four hundred seventy-three thousand, seven hundred sixty".