2670640 has 80 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 864000.

The previous prime is 2670637. The next prime is 2670643. The reversal of 2670640 is 460762.

It is an interprime number because it is at equal distance from previous prime (2670637) and next prime (2670643).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2670643) 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, 10515 + ... + 10765.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

2^2670640 is an apocalyptic number.

2670640 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 2670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749760).

2670640 is an abundant number, since it is smaller than the sum of its proper divisors (4828880).

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

2670640 is a wasteful number, since it uses less digits than its factorization.

2670640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2670640 is about 1634.2092889223. The cubic root of 2670640 is about 138.7410945776.

The spelling of 2670640 in words is "two million, six hundred seventy thousand, six hundred forty".