2007040 has 84 divisors (see below), whose sum is σ = 5602986. Its totient is φ = 688128.

The previous prime is 2007029. The next prime is 2007043. The reversal of 2007040 is 407002.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 200704 = 1344^2 + 448^2 .

It is a super-3 number, since 3×2007040³ = 24254333155540992000, which contains 333 as substring.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2007040.

It is not an unprimeable number, because it can be changed into a prime (2007043) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 286717 + ... + 286723.

2^2007040 is an apocalyptic number.

2007040 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 2007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801493).

2007040 is an abundant number, since it is smaller than the sum of its proper divisors (3595946).

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

2007040 is an frugal number, since it uses more digits than its factorization.

2007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

The square root of 2007040 is about 1416.7003917554. The cubic root of 2007040 is about 126.1397626097.

The spelling of 2007040 in words is "two million, seven thousand, forty".