2576309064 has 192 divisors, whose sum is σ = 8190927360. Its totient is φ = 670279680.

The previous prime is 2576309063. The next prime is 2576309069. The reversal of 2576309064 is 4609036752.

2576309064 is digitally balanced in base 2, 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 (42).

It is not an unprimeable number, because it can be changed into a prime (2576309063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617674 + ... + 621830.

It is an arithmetic number, because the mean of its divisors is an integer number (42661080).

Almost surely, 2^2576309064 is an apocalyptic number.

2576309064 is a gapful number since it is divisible by the number (24) 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 2576309064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095463680).

2576309064 is an abundant number, since it is smaller than the sum of its proper divisors (5614618296).

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

2576309064 is a wasteful number, since it uses less digits than its factorization.

2576309064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 2576309064 is about 50757.3547774113. The cubic root of 2576309064 is about 1370.8796212326.

The spelling of 2576309064 in words is "two billion, five hundred seventy-six million, three hundred nine thousand, sixty-four".