2888640 has 168 divisors, whose sum is σ = 10698480. Its totient is φ = 712704.

The previous prime is 2888629. The next prime is 2888647. The reversal of 2888640 is 468882.

2888640 is a `hidden beast` number, since 2 + 8 + 8 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2888595 and 2888604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2888647) 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, 48931 + ... + 48989.

2^2888640 is an apocalyptic number.

2888640 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 2888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349240).

2888640 is an abundant number, since it is smaller than the sum of its proper divisors (7809840).

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

2888640 is a wasteful number, since it uses less digits than its factorization.

2888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2888640 is about 1699.5999529301. The cubic root of 2888640 is about 142.4178658727.

The spelling of 2888640 in words is "two million, eight hundred eighty-eight thousand, six hundred forty".