2106490820 has 48 divisors (see below), whose sum is σ = 5073922560. Its totient is φ = 719604864.

The previous prime is 2106490807. The next prime is 2106490853. The reversal of 2106490820 is 280946012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11621 + ... + 65939.

It is an arithmetic number, because the mean of its divisors is an integer number (105706720).

Almost surely, 2^2106490820 is an apocalyptic number.

2106490820 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 2106490820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536961280).

2106490820 is an abundant number, since it is smaller than the sum of its proper divisors (2967431740).

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

2106490820 is a wasteful number, since it uses less digits than its factorization.

2106490820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54612 (or 54610 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2106490820 is about 45896.5229619848. The cubic root of 2106490820 is about 1281.8971744733.

The spelling of 2106490820 in words is "two billion, one hundred six million, four hundred ninety thousand, eight hundred twenty".