2581938540 has 72 divisors (see below), whose sum is σ = 8084539008. Its totient is φ = 666305280.

The previous prime is 2581938511. The next prime is 2581938547. The reversal of 2581938540 is 458391852.

2581938540 is a `hidden beast` number, since 25 + 81 + 9 + 3 + 8 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2581938547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225777 + ... + 236936.

It is an arithmetic number, because the mean of its divisors is an integer number (112285264).

Almost surely, 2^2581938540 is an apocalyptic number.

2581938540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2581938540 is an abundant number, since it is smaller than the sum of its proper divisors (5502600468).

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

2581938540 is a wasteful number, since it uses less digits than its factorization.

2581938540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462759 (or 462754 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 2581938540 is about 50812.7792981254. The cubic root of 2581938540 is about 1371.8773948585.

The spelling of 2581938540 in words is "two billion, five hundred eighty-one million, nine hundred thirty-eight thousand, five hundred forty".