2906640 has 120 divisors (see below), whose sum is σ = 10677888. Its totient is φ = 702720.

The previous prime is 2906633. The next prime is 2906663. The reversal of 2906640 is 466092.

It is a tau number, because it is divible by the number of its divisors (120).

It is an Ulam number.

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7737 + ... + 8103.

2^2906640 is an apocalyptic number.

2906640 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 2906640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338944).

2906640 is an abundant number, since it is smaller than the sum of its proper divisors (7771248).

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

2906640 is a wasteful number, since it uses less digits than its factorization.

2906640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2906640 is about 1704.8870930358. The cubic root of 2906640 is about 142.7130699880.

The spelling of 2906640 in words is "two million, nine hundred six thousand, six hundred forty".