2591268064 has 192 divisors, whose sum is σ = 6694313472. Its totient is φ = 958003200.

The previous prime is 2591268047. The next prime is 2591268077. The reversal of 2591268064 is 4608621952.

2591268064 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 (43).

It is a self number, because there is not a number n which added to its sum of digits gives 2591268064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3919894 + ... + 3920554.

It is an arithmetic number, because the mean of its divisors is an integer number (34866216).

Almost surely, 2^2591268064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2591268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347156736).

2591268064 is an abundant number, since it is smaller than the sum of its proper divisors (4103045408).

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

2591268064 is a wasteful number, since it uses less digits than its factorization.

2591268064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 2591268064 is about 50904.4994474948. The cubic root of 2591268064 is about 1373.5277798847.

The spelling of 2591268064 in words is "two billion, five hundred ninety-one million, two hundred sixty-eight thousand, sixty-four".