2522845440 has 216 divisors, whose sum is σ = 9053186688. Its totient is φ = 672675840.

The previous prime is 2522845433. The next prime is 2522845529. The reversal of 2522845440 is 445482252.

2522845440 is a `hidden beast` number, since 2 + 522 + 84 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×2522845440² = 12729498228257587200, which contains 22 as substring.

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 = 2522845395 and 2522845404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306985 + ... + 315095.

Almost surely, 2^2522845440 is an apocalyptic number.

2522845440 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 2522845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526593344).

2522845440 is an abundant number, since it is smaller than the sum of its proper divisors (6530341248).

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

2522845440 is an frugal number, since it uses more digits than its factorization.

2522845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8121 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The square root of 2522845440 is about 50227.9348570096. The cubic root of 2522845440 is about 1361.3304166685.

The spelling of 2522845440 in words is "two billion, five hundred twenty-two million, eight hundred forty-five thousand, four hundred forty".