2593778264 has 256 divisors, whose sum is σ = 6830438400. Its totient is φ = 899543040.

The previous prime is 2593778263. The next prime is 2593778267. The reversal of 2593778264 is 4628773952.

2593778264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2593778263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29143532 + ... + 29143620.

It is an arithmetic number, because the mean of its divisors is an integer number (26681400).

Almost surely, 2^2593778264 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 2593778264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415219200).

2593778264 is an abundant number, since it is smaller than the sum of its proper divisors (4236660136).

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

2593778264 is a wasteful number, since it uses less digits than its factorization.

2593778264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 149 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 53.

The square root of 2593778264 is about 50929.1494529410. The cubic root of 2593778264 is about 1373.9711556922.

The spelling of 2593778264 in words is "two billion, five hundred ninety-three million, seven hundred seventy-eight thousand, two hundred sixty-four".