2113950960 has 400 divisors, whose sum is σ = 8192904192. Its totient is φ = 500774400.

The previous prime is 2113950929. The next prime is 2113950961. The reversal of 2113950960 is 690593112.

It is a super-2 number, since 2×2113950960² = 8937577322569843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113950961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3349845 + ... + 3350475.

Almost surely, 2^2113950960 is an apocalyptic number.

2113950960 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 2113950960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4096452096).

2113950960 is an abundant number, since it is smaller than the sum of its proper divisors (6078953232).

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

2113950960 is a wasteful number, since it uses less digits than its factorization.

2113950960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 2113950960 is about 45977.7224316299. The cubic root of 2113950960 is about 1283.4086717264.

The spelling of 2113950960 in words is "two billion, one hundred thirteen million, nine hundred fifty thousand, nine hundred sixty".