2131920 has 200 divisors, whose sum is σ = 8642304. Its totient is φ = 476928.

The previous prime is 2131907. The next prime is 2131937. The reversal of 2131920 is 291312.

It is a happy number.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2131893 and 2131902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45337 + ... + 45383.

2^2131920 is an apocalyptic number.

2131920 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 2131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321152).

2131920 is an abundant number, since it is smaller than the sum of its proper divisors (6510384).

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

2131920 is a wasteful number, since it uses less digits than its factorization.

2131920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

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

The square root of 2131920 is about 1460.1095849285. The cubic root of 2131920 is about 128.7034833686.

The spelling of 2131920 in words is "two million, one hundred thirty-one thousand, nine hundred twenty".