2567326740 has 192 divisors, whose sum is σ = 8741053440. Its totient is φ = 554895360.

The previous prime is 2567326709. The next prime is 2567326763. The reversal of 2567326740 is 476237652.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2567326692 and 2567326701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207159 + ... + 219201.

It is an arithmetic number, because the mean of its divisors is an integer number (45526320).

Almost surely, 2^2567326740 is an apocalyptic number.

2567326740 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 2567326740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370526720).

2567326740 is an abundant number, since it is smaller than the sum of its proper divisors (6173726700).

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

2567326740 is a wasteful number, since it uses less digits than its factorization.

2567326740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102 (or 12100 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 2567326740 is about 50668.7945386507. The cubic root of 2567326740 is about 1369.2845714942.

The spelling of 2567326740 in words is "two billion, five hundred sixty-seven million, three hundred twenty-six thousand, seven hundred forty".