2182547640 has 256 divisors, whose sum is σ = 8099481600. Its totient is φ = 458164224.

The previous prime is 2182547621. The next prime is 2182547663. The reversal of 2182547640 is 467452812.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 2937109 + ... + 2937851.

It is an arithmetic number, because the mean of its divisors is an integer number (31638600).

Almost surely, 2^2182547640 is an apocalyptic number.

2182547640 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 2182547640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049740800).

2182547640 is an abundant number, since it is smaller than the sum of its proper divisors (5916933960).

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

2182547640 is a wasteful number, since it uses less digits than its factorization.

2182547640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2182547640 is about 46717.7443804814. The cubic root of 2182547640 is about 1297.1431624032.

The spelling of 2182547640 in words is "two billion, one hundred eighty-two million, five hundred forty-seven thousand, six hundred forty".