2113920 has 96 divisors (see below), whose sum is σ = 7319520. Its totient is φ = 562176.

The previous prime is 2113913. The next prime is 2113931. The reversal of 2113920 is 293112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2113893 and 2113902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5577 + ... + 5943.

It is an arithmetic number, because the mean of its divisors is an integer number (76245).

2^2113920 is an apocalyptic number.

2113920 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 2113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659760).

2113920 is an abundant number, since it is smaller than the sum of its proper divisors (5205600).

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

2113920 is a wasteful number, since it uses less digits than its factorization.

2113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2113920 is about 1453.9325981627. The cubic root of 2113920 is about 128.3402406282.

The spelling of 2113920 in words is "two million, one hundred thirteen thousand, nine hundred twenty".