2880640 has 64 divisors (see below), whose sum is σ = 7882560. Its totient is φ = 986112.

The previous prime is 2880629. The next prime is 2880641. The reversal of 2880640 is 460882.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2880599 and 2880608.

It is not an unprimeable number, because it can be changed into a prime (2880641) 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, 4159 + ... + 4801.

It is an arithmetic number, because the mean of its divisors is an integer number (123165).

2^2880640 is an apocalyptic number.

2880640 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 2880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941280).

2880640 is an abundant number, since it is smaller than the sum of its proper divisors (5001920).

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

2880640 is an equidigital number, since it uses as much as digits as its factorization.

2880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2880640 is about 1697.2448261815. The cubic root of 2880640 is about 142.2862703422.

The spelling of 2880640 in words is "two million, eight hundred eighty thousand, six hundred forty".