2076505200 has 720 divisors, whose sum is σ = 9325236480. Its totient is φ = 429580800.

The previous prime is 2076505181. The next prime is 2076505213. The reversal of 2076505200 is 25056702.

2076505200 is a `hidden beast` number, since 2 + 0 + 7 + 650 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9147487 + ... + 9147713.

Almost surely, 2^2076505200 is an apocalyptic number.

2076505200 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 2076505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662618240).

2076505200 is an abundant number, since it is smaller than the sum of its proper divisors (7248731280).

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

2076505200 is a wasteful number, since it uses less digits than its factorization.

2076505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2076505200 is about 45568.6866170181. The cubic root of 2076505200 is about 1275.7855366870.

The spelling of 2076505200 in words is "two billion, seventy-six million, five hundred five thousand, two hundred".