2792412 has 54 divisors (see below), whose sum is σ = 8216208. Its totient is φ = 797328.

The previous prime is 2792401. The next prime is 2792423. The reversal of 2792412 is 2142972.

It is an interprime number because it is at equal distance from previous prime (2792401) and next prime (2792423).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 973 + ... + 2555.

It is an arithmetic number, because the mean of its divisors is an integer number (152152).

2^2792412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2792412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108104).

2792412 is an abundant number, since it is smaller than the sum of its proper divisors (5423796).

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

2792412 is a wasteful number, since it uses less digits than its factorization.

2792412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1595 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 2792412 is about 1671.0511661825. The cubic root of 2792412 is about 140.8185382573.

The spelling of 2792412 in words is "two million, seven hundred ninety-two thousand, four hundred twelve".