2117051600 has 60 divisors (see below), whose sum is σ = 5120496300. Its totient is φ = 841113600.

The previous prime is 2117051581. The next prime is 2117051621. The reversal of 2117051600 is 61507112.

It can be written as a sum of positive squares in 6 ways, for example, as 53348416 + 2063703184 = 7304^2 + 45428^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 41840 + ... + 77360.

It is an arithmetic number, because the mean of its divisors is an integer number (85341605).

Almost surely, 2^2117051600 is an apocalyptic number.

2117051600 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 2117051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560248150).

2117051600 is an abundant number, since it is smaller than the sum of its proper divisors (3003444700).

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

2117051600 is a wasteful number, since it uses less digits than its factorization.

2117051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35688 (or 35677 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 2117051600 is about 46011.4290149741. The cubic root of 2117051600 is about 1284.0358455717.

Adding to 2117051600 its reverse (61507112), we get a palindrome (2178558712).

The spelling of 2117051600 in words is "two billion, one hundred seventeen million, fifty-one thousand, six hundred".