2564181740 has 96 divisors (see below), whose sum is σ = 6089126400. Its totient is φ = 901877760.

The previous prime is 2564181731. The next prime is 2564181743. The reversal of 2564181740 is 471814652.

It is a junction number, because it is equal to n+sod(n) for n = 2564181694 and 2564181703.

It is not an unprimeable number, because it can be changed into a prime (2564181743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301466 + ... + 309854.

It is an arithmetic number, because the mean of its divisors is an integer number (63428400).

Almost surely, 2^2564181740 is an apocalyptic number.

2564181740 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 2564181740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3044563200).

2564181740 is an abundant number, since it is smaller than the sum of its proper divisors (3524944660).

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

2564181740 is a wasteful number, since it uses less digits than its factorization.

2564181740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475 (or 8473 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 2564181740 is about 50637.7501474937. The cubic root of 2564181740 is about 1368.7252140935.

The spelling of 2564181740 in words is "two billion, five hundred sixty-four million, one hundred eighty-one thousand, seven hundred forty".