2080210440 has 768 divisors, whose sum is σ = 8912332800. Its totient is φ = 376012800.

The previous prime is 2080210427. The next prime is 2080210463. The reversal of 2080210440 is 440120802.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50736820 + ... + 50736860.

It is an arithmetic number, because the mean of its divisors is an integer number (11604600).

Almost surely, 2^2080210440 is an apocalyptic number.

2080210440 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 2080210440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456166400).

2080210440 is an abundant number, since it is smaller than the sum of its proper divisors (6832122360).

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

2080210440 is a wasteful number, since it uses less digits than its factorization.

2080210440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2080210440 is about 45609.3240467341. The cubic root of 2080210440 is about 1276.5439074935.

The spelling of 2080210440 in words is "two billion, eighty million, two hundred ten thousand, four hundred forty".