2692120 has 64 divisors (see below), whose sum is σ = 6648480. Its totient is φ = 976896.

The previous prime is 2692117. The next prime is 2692121. The reversal of 2692120 is 212962.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2692091 and 2692100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2692121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25107 + ... + 25213.

2^2692120 is an apocalyptic number.

2692120 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 2692120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324240).

2692120 is an abundant number, since it is smaller than the sum of its proper divisors (3956360).

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

2692120 is a wasteful number, since it uses less digits than its factorization.

2692120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2692120 is about 1640.7681128057. The cubic root of 2692120 is about 139.1120673783.

The spelling of 2692120 in words is "two million, six hundred ninety-two thousand, one hundred twenty".