2061586800 has 1080 divisors, whose sum is σ = 9570637440. Its totient is φ = 406425600.

The previous prime is 2061586799. The next prime is 2061586817. The reversal of 2061586800 is 86851602.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 66502785 + ... + 66502815.

Almost surely, 2^2061586800 is an apocalyptic number.

2061586800 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 2061586800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785318720).

2061586800 is an abundant number, since it is smaller than the sum of its proper divisors (7509050640).

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

2061586800 is a wasteful number, since it uses less digits than its factorization.

2061586800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2061586800 is about 45404.7001972263. The cubic root of 2061586800 is about 1272.7229484702.

The spelling of 2061586800 in words is "two billion, sixty-one million, five hundred eighty-six thousand, eight hundred".