2206525440 has 384 divisors, whose sum is σ = 8353013760. Its totient is φ = 486604800.

The previous prime is 2206525397. The next prime is 2206525457. The reversal of 2206525440 is 445256022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2206525398 and 2206525407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6666075 + ... + 6666405.

It is an arithmetic number, because the mean of its divisors is an integer number (21752640).

Almost surely, 2^2206525440 is an apocalyptic number.

2206525440 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 2206525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176506880).

2206525440 is an abundant number, since it is smaller than the sum of its proper divisors (6146488320).

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

2206525440 is a wasteful number, since it uses less digits than its factorization.

2206525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2206525440 is about 46973.6675170249. The cubic root of 2206525440 is about 1301.8760762750.

The spelling of 2206525440 in words is "two billion, two hundred six million, five hundred twenty-five thousand, four hundred forty".