2082212640 has 72 divisors (see below), whose sum is σ = 7105555548. Its totient is φ = 555256320.

The previous prime is 2082212623. The next prime is 2082212651. The reversal of 2082212640 is 462122802.

It is a happy number.

2082212640 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 2 + 12 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1991658384 + 90554256 = 44628^2 + 9516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 721551 + ... + 724430.

Almost surely, 2^2082212640 is an apocalyptic number.

2082212640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2082212640 is an abundant number, since it is smaller than the sum of its proper divisors (5023342908).

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

2082212640 is a wasteful number, since it uses less digits than its factorization.

2082212640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446002 (or 1445991 counting only the distinct ones).

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

The square root of 2082212640 is about 45631.2682269516. The cubic root of 2082212640 is about 1276.9533334799.

The spelling of 2082212640 in words is "two billion, eighty-two million, two hundred twelve thousand, six hundred forty".