2562272440 has 96 divisors (see below), whose sum is σ = 7103990880. Its totient is φ = 809950464.

The previous prime is 2562272431. The next prime is 2562272477. The reversal of 2562272440 is 442722652.

It is a junction number, because it is equal to n+sod(n) for n = 2562272396 and 2562272405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3053541 + ... + 3054379.

It is an arithmetic number, because the mean of its divisors is an integer number (73999905).

Almost surely, 2^2562272440 is an apocalyptic number.

2562272440 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 2562272440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551995440).

2562272440 is an abundant number, since it is smaller than the sum of its proper divisors (4541718440).

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

2562272440 is an equidigital number, since it uses as much as digits as its factorization.

2562272440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 2562272440 is about 50618.8941009185. The cubic root of 2562272440 is about 1368.3854103132.

The spelling of 2562272440 in words is "two billion, five hundred sixty-two million, two hundred seventy-two thousand, four hundred forty".