2790648 has 96 divisors (see below), whose sum is σ = 8892000. Its totient is φ = 790272.

The previous prime is 2790647. The next prime is 2790649. The reversal of 2790648 is 8460972.

2790648 is a `hidden beast` number, since 2 + 7 + 9 + 0 + 648 = 666.

2790648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2790647) and next prime (2790649).

It is a super-3 number, since 3×2790648³ = 65198324415805733376, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2790643) 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 23 ways as a sum of consecutive naturals, for example, 24640 + ... + 24752.

It is an arithmetic number, because the mean of its divisors is an integer number (92625).

2^2790648 is an apocalyptic number.

2790648 is a gapful number since it is divisible by the number (28) 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 2790648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4446000).

2790648 is an abundant number, since it is smaller than the sum of its proper divisors (6101352).

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

2790648 is a wasteful number, since it uses less digits than its factorization.

2790648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2790648 is about 1670.5232713135. The cubic root of 2790648 is about 140.7888797605.

The spelling of 2790648 in words is "two million, seven hundred ninety thousand, six hundred forty-eight".