2080310400 has 576 divisors, whose sum is σ = 8997281280. Its totient is φ = 446791680.

The previous prime is 2080310369. The next prime is 2080310413. The reversal of 2080310400 is 40130802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3426897 + ... + 3427503.

It is an arithmetic number, because the mean of its divisors is an integer number (15620280).

Almost surely, 2^2080310400 is an apocalyptic number.

2080310400 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 2080310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498640640).

2080310400 is an abundant number, since it is smaller than the sum of its proper divisors (6916970880).

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

2080310400 is a wasteful number, since it uses less digits than its factorization.

2080310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2080310400 is about 45610.4198621324. The cubic root of 2080310400 is about 1276.5643543487.

The spelling of 2080310400 in words is "two billion, eighty million, three hundred ten thousand, four hundred".