2576319480 has 256 divisors, whose sum is σ = 10132070400. Its totient is φ = 569825280.

The previous prime is 2576319479. The next prime is 2576319503. The reversal of 2576319480 is 849136752.

2576319480 is a `hidden beast` number, since 2 + 5 + 7 + 631 + 9 + 4 + 8 + 0 = 666.

2576319480 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2576319480 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228864 + ... + 239856.

It is an arithmetic number, because the mean of its divisors is an integer number (39578400).

It is a 1-persistent number, because it is pandigital, but 2⋅2576319480 = 5152638960 is not.

Almost surely, 2^2576319480 is an apocalyptic number.

2576319480 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 2576319480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5066035200).

2576319480 is an abundant number, since it is smaller than the sum of its proper divisors (7555750920).

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

2576319480 is a wasteful number, since it uses less digits than its factorization.

2576319480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11051 (or 11041 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2576319480 is about 50757.4573831275. The cubic root of 2576319480 is about 1370.8814687158.

The spelling of 2576319480 in words is "two billion, five hundred seventy-six million, three hundred nineteen thousand, four hundred eighty".