2104640820 has 120 divisors (see below), whose sum is σ = 6661343304. Its totient is φ = 556222464.

The previous prime is 2104640819. The next prime is 2104640821. The reversal of 2104640820 is 280464012.

2104640820 is a `hidden beast` number, since 2 + 10 + 4 + 640 + 8 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2104640819) and next prime (2104640821).

It can be written as a sum of positive squares in 4 ways, for example, as 4435236 + 2100205584 = 2106^2 + 45828^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2104640821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177312 + ... + 188808.

Almost surely, 2^2104640820 is an apocalyptic number.

2104640820 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 2104640820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3330671652).

2104640820 is an abundant number, since it is smaller than the sum of its proper divisors (4556702484).

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

2104640820 is a wasteful number, since it uses less digits than its factorization.

2104640820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11631 (or 11620 counting only the distinct ones).

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

The square root of 2104640820 is about 45876.3645028679. The cubic root of 2104640820 is about 1281.5217943483.

The spelling of 2104640820 in words is "two billion, one hundred four million, six hundred forty thousand, eight hundred twenty".