2064769200 has 180 divisors, whose sum is σ = 7716676240. Its totient is φ = 508239360.

The previous prime is 2064769199. The next prime is 2064769211. The reversal of 2064769200 is 29674602.

It is a happy number.

2064769200 is a `hidden beast` number, since 2 + 0 + 647 + 6 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 24741 + ... + 68859.

Almost surely, 2^2064769200 is an apocalyptic number.

2064769200 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 2064769200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858338120).

2064769200 is an abundant number, since it is smaller than the sum of its proper divisors (5651907040).

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

2064769200 is a wasteful number, since it uses less digits than its factorization.

2064769200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44156 (or 44142 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 2064769200 is about 45439.7315132913. The cubic root of 2064769200 is about 1273.3774978666.

It can be divided in two parts, 2064769 and 200, that added together give a square (2064969 = 1437²).

The spelling of 2064769200 in words is "two billion, sixty-four million, seven hundred sixty-nine thousand, two hundred".