2036980800 has 504 divisors, whose sum is σ = 7860173256. Its totient is φ = 498401280.

The previous prime is 2036980787. The next prime is 2036980837. The reversal of 2036980800 is 80896302.

It can be written as a sum of positive squares in 12 ways, for example, as 279023616 + 1757957184 = 16704^2 + 41928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12974322 + ... + 12974478.

Almost surely, 2^2036980800 is an apocalyptic number.

2036980800 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 2036980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3930086628).

2036980800 is an abundant number, since it is smaller than the sum of its proper divisors (5823192456).

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

2036980800 is a wasteful number, since it uses less digits than its factorization.

2036980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2036980800 is about 45132.9236810557. The cubic root of 2036980800 is about 1267.6391546858.

The spelling of 2036980800 in words is "two billion, thirty-six million, nine hundred eighty thousand, eight hundred".