2581940340 has 144 divisors (see below), whose sum is σ = 9344260800. Its totient is φ = 590151744.

The previous prime is 2581940329. The next prime is 2581940357. The reversal of 2581940340 is 430491852.

2581940340 is a `hidden beast` number, since 2 + 581 + 9 + 40 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2581940295 and 2581940304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22330 + ... + 75249.

It is an arithmetic number, because the mean of its divisors is an integer number (64890700).

Almost surely, 2^2581940340 is an apocalyptic number.

2581940340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2581940340 is an abundant number, since it is smaller than the sum of its proper divisors (6762320460).

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

2581940340 is a wasteful number, since it uses less digits than its factorization.

2581940340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97611 (or 97596 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2581940340 is about 50812.7970102021. The cubic root of 2581940340 is about 1371.8777136602.

The spelling of 2581940340 in words is "two billion, five hundred eighty-one million, nine hundred forty thousand, three hundred forty".