2051640234300 has 144 divisors (see below), whose sum is σ = 6068736263520. Its totient is φ = 534948111360.

The previous prime is 2051640234289. The next prime is 2051640234317. The reversal of 2051640234300 is 34320461502.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4438506 + ... + 4878894.

It is an arithmetic number, because the mean of its divisors is an integer number (42144001830).

Almost surely, 2^{2051640234300} is an apocalyptic number.

2051640234300 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 2051640234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034368131760).

2051640234300 is an abundant number, since it is smaller than the sum of its proper divisors (4017096029220).

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

2051640234300 is a wasteful number, since it uses less digits than its factorization.

2051640234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440752 (or 440745 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 2051640234300 its reverse (34320461502), we get a palindrome (2085960695802).

The spelling of 2051640234300 in words is "two trillion, fifty-one billion, six hundred forty million, two hundred thirty-four thousand, three hundred".