2064625200 has 360 divisors, whose sum is σ = 8109855936. Its totient is φ = 500256000.

The previous prime is 2064625193. The next prime is 2064625223. The reversal of 2064625200 is 25264602.

2064625200 is a `hidden beast` number, since 20 + 64 + 62 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 1068235 + ... + 1070165.

Almost surely, 2^2064625200 is an apocalyptic number.

2064625200 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 2064625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054927968).

2064625200 is an abundant number, since it is smaller than the sum of its proper divisors (6045230736).

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

2064625200 is a wasteful number, since it uses less digits than its factorization.

2064625200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2064625200 is about 45438.1469692592. The cubic root of 2064625200 is about 1273.3478947803.

Adding to 2064625200 its reverse (25264602), we get a palindrome (2089889802).

It can be divided in two parts, 2064 and 625200, that added together give a square (627264 = 792²).

The spelling of 2064625200 in words is "two billion, sixty-four million, six hundred twenty-five thousand, two hundred".