2113534440000 has 315 divisors, whose sum is σ = 7573283432143. Its totient is φ = 563376576000.

The previous prime is 2113534439977. The next prime is 2113534440001. The reversal of 2113534440000 is 444353112.

It is a happy number.

The square root of 2113534440000 is 1453800.

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

2113534440000 is a `hidden beast` number, since 211 + 3 + 5 + 3 + 4 + 440 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165701100096 + 1947833339904 = 407064^2 + 1395648^2 .

It is a super-2 number, since 2×2113534440000² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2113534440001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 872278789 + ... + 872281211.

Almost surely, 2^{2113534440000} is an apocalyptic number.

2113534440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2113534440000 is the 1453800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113534440000

2113534440000 is an abundant number, since it is smaller than the sum of its proper divisors (5459748992143).

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

2113534440000 is an frugal number, since it uses more digits than its factorization.

2113534440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4884 (or 2433 counting only the distinct ones).

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

Adding to 2113534440000 its reverse (444353112), we get a palindrome (2113978793112).

The spelling of 2113534440000 in words is "two trillion, one hundred thirteen billion, five hundred thirty-four million, four hundred forty thousand".