2764890 has 48 divisors (see below), whose sum is σ = 7428096. Its totient is φ = 712800.

The previous prime is 2764873. The next prime is 2764891. The reversal of 2764890 is 984672.

2764890 is a `hidden beast` number, since 2 + 7 + 648 + 9 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2¹¹ + 7⁶ + 6³ + 4⁷ + 8⁷ + 9⁶ + 0 .

It is not an unprimeable number, because it can be changed into a prime (2764891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2295 + ... + 3285.

It is an arithmetic number, because the mean of its divisors is an integer number (154752).

2^2764890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2764890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3714048).

2764890 is an abundant number, since it is smaller than the sum of its proper divisors (4663206).

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

2764890 is a wasteful number, since it uses less digits than its factorization.

2764890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1032 counting only the distinct ones).

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

The square root of 2764890 is about 1662.7958383398. The cubic root of 2764890 is about 140.3543743436.

The spelling of 2764890 in words is "two million, seven hundred sixty-four thousand, eight hundred ninety".