2781588260 has 96 divisors (see below), whose sum is σ = 6679943424. Its totient is φ = 963072000.

The previous prime is 2781588259. The next prime is 2781588307. The reversal of 2781588260 is 628851872.

2781588260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1218320 + ... + 1220600.

It is an arithmetic number, because the mean of its divisors is an integer number (69582744).

Almost surely, 2^2781588260 is an apocalyptic number.

2781588260 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 2781588260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339971712).

2781588260 is an abundant number, since it is smaller than the sum of its proper divisors (3898355164).

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

2781588260 is a wasteful number, since it uses less digits than its factorization.

2781588260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 47.

The square root of 2781588260 is about 52740.7646891852. The cubic root of 2781588260 is about 1406.3635921805.

The spelling of 2781588260 in words is "two billion, seven hundred eighty-one million, five hundred eighty-eight thousand, two hundred sixty".