2084210640 has 60 divisors (see below), whose sum is σ = 6999476484. Its totient is φ = 555789312.

The previous prime is 2084210621. The next prime is 2084210647. The reversal of 2084210640 is 460124802.

2084210640 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 2 + 10 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 491242896 + 1592967744 = 22164^2 + 39912^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2084210647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1446649 + ... + 1448088.

Almost surely, 2^2084210640 is an apocalyptic number.

2084210640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2084210640 is an abundant number, since it is smaller than the sum of its proper divisors (4915265844).

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

2084210640 is a wasteful number, since it uses less digits than its factorization.

2084210640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894756 (or 2894747 counting only the distinct ones).

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

The square root of 2084210640 is about 45653.1558602469. The cubic root of 2084210640 is about 1277.3616390632.

The spelling of 2084210640 in words is "two billion, eighty-four million, two hundred ten thousand, six hundred forty".