2063653200 has 480 divisors, whose sum is σ = 8523224320. Its totient is φ = 470292480.

The previous prime is 2063653181. The next prime is 2063653259. The reversal of 2063653200 is 23563602.

2063653200 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 653 + 2 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6123432 + ... + 6123768.

Almost surely, 2^2063653200 is an apocalyptic number.

2063653200 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 2063653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261612160).

2063653200 is an abundant number, since it is smaller than the sum of its proper divisors (6459571120).

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

2063653200 is an equidigital number, since it uses as much as digits as its factorization.

2063653200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2063653200 is about 45427.4498513839. The cubic root of 2063653200 is about 1273.1480379355.

The spelling of 2063653200 in words is "two billion, sixty-three million, six hundred fifty-three thousand, two hundred".