2113737976900 has 81 divisors (see below), whose sum is σ = 5042083282327. Its totient is φ = 768573836800.

The previous prime is 2113737976849. The next prime is 2113737976919. The reversal of 2113737976900 is 96797373112.

The square root of 2113737976900 is 1453870.

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

It can be written as a sum of positive squares in 4 ways, for example, as 116626348036 + 1997111628864 = 341506^2 + 1413192^2 .

It is a super-2 number, since 2×2113737976900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 159919092 + ... + 159932308.

Almost surely, 2^{2113737976900} is an apocalyptic number.

2113737976900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2113737976900 is the 1453870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113737976900

2113737976900 is an abundant number, since it is smaller than the sum of its proper divisors (2928345305427).

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

2113737976900 is an equidigital number, since it uses as much as digits as its factorization.

2113737976900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26470 (or 13235 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 55.

The spelling of 2113737976900 in words is "two trillion, one hundred thirteen billion, seven hundred thirty-seven million, nine hundred seventy-six thousand, nine hundred".