2819640 has 32 divisors (see below), whose sum is σ = 8459280. Its totient is φ = 751872.

The previous prime is 2819633. The next prime is 2819647. The reversal of 2819640 is 469182.

It is an interprime number because it is at equal distance from previous prime (2819633) and next prime (2819647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2819598 and 2819607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2819647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11629 + ... + 11868.

2^2819640 is an apocalyptic number.

2819640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2819640 is an abundant number, since it is smaller than the sum of its proper divisors (5639640).

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

2819640 is a wasteful number, since it uses less digits than its factorization.

2819640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23511 (or 23507 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2819640 is about 1679.1783705134. The cubic root of 2819640 is about 141.2747522341.

The spelling of 2819640 in words is "two million, eight hundred nineteen thousand, six hundred forty".