2647890 has 80 divisors (see below), whose sum is σ = 8154432. Its totient is φ = 603936.

The previous prime is 2647889. The next prime is 2647891. The reversal of 2647890 is 987462.

2647890 is a `hidden beast` number, since 2 + 647 + 8 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2647889) and next prime (2647891).

It is a super-2 number, since 2×2647890² = 14022642904200, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹¹ + 6⁷ + 4⁹ + 7² + 8⁷ + 9⁴ + 0 .

It is not an unprimeable number, because it can be changed into a prime (2647891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5437 + ... + 5903.

2^2647890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2647890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077216).

2647890 is an abundant number, since it is smaller than the sum of its proper divisors (5506542).

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

2647890 is a wasteful number, since it uses less digits than its factorization.

2647890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

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

The square root of 2647890 is about 1627.2338492055. The cubic root of 2647890 is about 138.3460126118.

The spelling of 2647890 in words is "two million, six hundred forty-seven thousand, eight hundred ninety".