2082140640 has 168 divisors, whose sum is σ = 7375625208. Its totient is φ = 555206400.

The previous prime is 2082140611. The next prime is 2082140663. The reversal of 2082140640 is 460412802.

2082140640 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 14 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 107715 + ... + 125565.

It is an arithmetic number, because the mean of its divisors is an integer number (43902531).

Almost surely, 2^2082140640 is an apocalyptic number.

2082140640 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 2082140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3687812604).

2082140640 is an abundant number, since it is smaller than the sum of its proper divisors (5293484568).

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

2082140640 is an equidigital number, since it uses as much as digits as its factorization.

2082140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17884 (or 17861 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2082140640 is about 45630.4792874237. The cubic root of 2082140640 is about 1276.9386148903.

The spelling of 2082140640 in words is "two billion, eighty-two million, one hundred forty thousand, six hundred forty".