2581928960 has 88 divisors (see below), whose sum is σ = 6670206816. Its totient is φ = 953303040.

The previous prime is 2581928959. The next prime is 2581928969. The reversal of 2581928960 is 698291852.

It is a junction number, because it is equal to n+sod(n) for n = 2581928899 and 2581928908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2581928969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47165 + ... + 85955.

Almost surely, 2^2581928960 is an apocalyptic number.

2581928960 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 2581928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335103408).

2581928960 is an abundant number, since it is smaller than the sum of its proper divisors (4088277856).

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

2581928960 is a wasteful number, since it uses less digits than its factorization.

2581928960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38829 (or 38811 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 50.

The square root of 2581928960 is about 50812.6850304134. The cubic root of 2581928960 is about 1371.8756981228.

The spelling of 2581928960 in words is "two billion, five hundred eighty-one million, nine hundred twenty-eight thousand, nine hundred sixty".