2792120 has 48 divisors (see below), whose sum is σ = 6584760. Its totient is φ = 1065344.

The previous prime is 2792099. The next prime is 2792123. The reversal of 2792120 is 212972.

2792120 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33599 + ... + 33681.

2^2792120 is an apocalyptic number.

2792120 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 2792120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3292380).

2792120 is an abundant number, since it is smaller than the sum of its proper divisors (3792640).

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

2792120 is a wasteful number, since it uses less digits than its factorization.

2792120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2792120 is about 1670.9637937430. The cubic root of 2792120 is about 140.8136296637.

The spelling of 2792120 in words is "two million, seven hundred ninety-two thousand, one hundred twenty".