2864840 has 64 divisors (see below), whose sum is σ = 7464960. Its totient is φ = 977920.

The previous prime is 2864833. The next prime is 2864843. The reversal of 2864840 is 484682.

It is a junction number, because it is equal to n+sod(n) for n = 2864797 and 2864806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7289 + ... + 7671.

It is an arithmetic number, because the mean of its divisors is an integer number (116640).

2^2864840 is an apocalyptic number.

2864840 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 2864840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732480).

2864840 is an abundant number, since it is smaller than the sum of its proper divisors (4600120).

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

2864840 is a wasteful number, since it uses less digits than its factorization.

2864840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2864840 is about 1692.5838236259. The cubic root of 2864840 is about 142.0256516510.

The spelling of 2864840 in words is "two million, eight hundred sixty-four thousand, eight hundred forty".