2064510000 has 600 divisors, whose sum is σ = 8611368480. Its totient is φ = 451584000.

The previous prime is 2064509983. The next prime is 2064510001. The reversal of 2064510000 is 154602.

It is a happy number.

2064510000 is a `hidden beast` number, since 20 + 645 + 1 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2064510001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18269944 + ... + 18270056.

Almost surely, 2^2064510000 is an apocalyptic number.

2064510000 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 2064510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305684240).

2064510000 is an abundant number, since it is smaller than the sum of its proper divisors (6546858480).

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

2064510000 is a wasteful number, since it uses less digits than its factorization.

2064510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2064510000 is about 45436.8792942473. The cubic root of 2064510000 is about 1273.3242113202.

Adding to 2064510000 its reverse (154602), we get a palindrome (2064664602).

The spelling of 2064510000 in words is "two billion, sixty-four million, five hundred ten thousand".