2576723968 has 208 divisors, whose sum is σ = 6575865856. Its totient is φ = 982056960.

The previous prime is 2576723953. The next prime is 2576724011. The reversal of 2576723968 is 8693276752.

It is a tau number, because it is divible by the number of its divisors (208).

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 15 ways as a sum of consecutive naturals, for example, 11554705 + ... + 11554927.

Almost surely, 2^2576723968 is an apocalyptic number.

2576723968 is a gapful number since it is divisible by the number (28) 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 2576723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287932928).

2576723968 is an abundant number, since it is smaller than the sum of its proper divisors (3999141888).

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

2576723968 is a wasteful number, since it uses less digits than its factorization.

2576723968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 55.

The square root of 2576723968 is about 50761.4417446944. The cubic root of 2576723968 is about 1370.9532087945.

The spelling of 2576723968 in words is "two billion, five hundred seventy-six million, seven hundred twenty-three thousand, nine hundred sixty-eight".