2113896960 has 640 divisors, whose sum is σ = 9121559040. Its totient is φ = 452984832.

The previous prime is 2113896947. The next prime is 2113897007. The reversal of 2113896960 is 696983112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8225152 + ... + 8225408.

It is an arithmetic number, because the mean of its divisors is an integer number (14252436).

Almost surely, 2^2113896960 is an apocalyptic number.

2113896960 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 2113896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560779520).

2113896960 is an abundant number, since it is smaller than the sum of its proper divisors (7007662080).

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

2113896960 is a wasteful number, since it uses less digits than its factorization.

2113896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 2113896960 is about 45977.1351869601. The cubic root of 2113896960 is about 1283.3977435860.

The spelling of 2113896960 in words is "two billion, one hundred thirteen million, eight hundred ninety-six thousand, nine hundred sixty".