2113516440 has 192 divisors, whose sum is σ = 7958433600. Its totient is φ = 476430336.

The previous prime is 2113516423. The next prime is 2113516451. The reversal of 2113516440 is 446153112.

It is a happy number.

2113516440 is a `hidden beast` number, since 2 + 1 + 13 + 5 + 1 + 644 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178216 + ... + 189704.

It is an arithmetic number, because the mean of its divisors is an integer number (41450175).

Almost surely, 2^2113516440 is an apocalyptic number.

2113516440 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 2113516440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979216800).

2113516440 is an abundant number, since it is smaller than the sum of its proper divisors (5844917160).

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

2113516440 is a wasteful number, since it uses less digits than its factorization.

2113516440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11586 (or 11579 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2113516440 is about 45972.9968568507. The cubic root of 2113516440 is about 1283.3207313468.

Adding to 2113516440 its reverse (446153112), we get a palindrome (2559669552).

The spelling of 2113516440 in words is "two billion, one hundred thirteen million, five hundred sixteen thousand, four hundred forty".