2113737600 has 192 divisors, whose sum is σ = 7498113840. Its totient is φ = 520273920.

The previous prime is 2113737547. The next prime is 2113737607. The reversal of 2113737600 is 67373112.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113737607) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 116332 + ... + 133268.

Almost surely, 2^2113737600 is an apocalyptic number.

2113737600 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 2113737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749056920).

2113737600 is an abundant number, since it is smaller than the sum of its proper divisors (5384376240).

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

2113737600 is a wasteful number, since it uses less digits than its factorization.

2113737600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16977 (or 16960 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 2113737600 is about 45975.4021189592. The cubic root of 2113737600 is about 1283.3654923445.

The spelling of 2113737600 in words is "two billion, one hundred thirteen million, seven hundred thirty-seven thousand, six hundred".