2591936480 has 96 divisors (see below), whose sum is σ = 7239637440. Its totient is φ = 858009600.

The previous prime is 2591936453. The next prime is 2591936489. The reversal of 2591936480 is 846391952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2591936489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7421 + ... + 72380.

It is an arithmetic number, because the mean of its divisors is an integer number (75412890).

Almost surely, 2^2591936480 is an apocalyptic number.

2591936480 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 2591936480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619818720).

2591936480 is an abundant number, since it is smaller than the sum of its proper divisors (4647700960).

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

2591936480 is a wasteful number, since it uses less digits than its factorization.

2591936480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79852 (or 79844 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 2591936480 is about 50911.0644162936. The cubic root of 2591936480 is about 1373.6458699463.

The spelling of 2591936480 in words is "two billion, five hundred ninety-one million, nine hundred thirty-six thousand, four hundred eighty".