2102523200064 has 735 divisors, whose sum is σ = 7351223315177. Its totient is φ = 596336090112.

The previous prime is 2102523200059. The next prime is 2102523200077. The reversal of 2102523200064 is 4600023252012.

It is a happy number.

The square root of 2102523200064 is 1450008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1235032142400 + 867491057664 = 1111320^2 + 931392^2 .

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 (13) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 15346884604 + ... + 15346884740.

Almost surely, 2^{2102523200064} is an apocalyptic number.

2102523200064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2102523200064 is the 1450008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102523200064

2102523200064 is an abundant number, since it is smaller than the sum of its proper divisors (5248700115113).

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

2102523200064 is an frugal number, since it uses more digits than its factorization.

2102523200064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 149 counting only the distinct ones).

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

Adding to 2102523200064 its reverse (4600023252012), we get a palindrome (6702546452076).

The spelling of 2102523200064 in words is "two trillion, one hundred two billion, five hundred twenty-three million, two hundred thousand, sixty-four".