2581319760 has 80 divisors (see below), whose sum is σ = 8014415616. Its totient is φ = 687291904.

The previous prime is 2581319753. The next prime is 2581319809. The reversal of 2581319760 is 679131852.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154537 + ... + 170423.

Almost surely, 2^2581319760 is an apocalyptic number.

2581319760 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 2581319760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007207808).

2581319760 is an abundant number, since it is smaller than the sum of its proper divisors (5433095856).

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

2581319760 is a wasteful number, since it uses less digits than its factorization.

2581319760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16580 (or 16574 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 2581319760 is about 50806.6901106537. The cubic root of 2581319760 is about 1371.7677926992.

The spelling of 2581319760 in words is "two billion, five hundred eighty-one million, three hundred nineteen thousand, seven hundred sixty".