2567752440 has 128 divisors (see below), whose sum is σ = 8415878400. Its totient is φ = 621573120.

The previous prime is 2567752399. The next prime is 2567752441. The reversal of 2567752440 is 442577652.

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 = 2567752392 and 2567752401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2567752441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1489419 + ... + 1491141.

It is an arithmetic number, because the mean of its divisors is an integer number (65749050).

Almost surely, 2^2567752440 is an apocalyptic number.

2567752440 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 2567752440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207939200).

2567752440 is an abundant number, since it is smaller than the sum of its proper divisors (5848125960).

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

2567752440 is a wasteful number, since it uses less digits than its factorization.

2567752440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The square root of 2567752440 is about 50672.9951749450. The cubic root of 2567752440 is about 1369.3602497237.

The spelling of 2567752440 in words is "two billion, five hundred sixty-seven million, seven hundred fifty-two thousand, four hundred forty".