2541589340 has 24 divisors (see below), whose sum is σ = 5618250960. Its totient is φ = 963128448.

The previous prime is 2541589331. The next prime is 2541589409. The reversal of 2541589340 is 439851452.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3343817 + ... + 3344576.

It is an arithmetic number, because the mean of its divisors is an integer number (234093790).

Almost surely, 2^2541589340 is an apocalyptic number.

2541589340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541589340 is an abundant number, since it is smaller than the sum of its proper divisors (3076661620).

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

2541589340 is a wasteful number, since it uses less digits than its factorization.

2541589340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688421 (or 6688419 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 2541589340 is about 50414.1779661238. The cubic root of 2541589340 is about 1364.6935117632.

The spelling of 2541589340 in words is "two billion, five hundred forty-one million, five hundred eighty-nine thousand, three hundred forty".