2007400 has 24 divisors (see below), whose sum is σ = 4667670. Its totient is φ = 802880.

The previous prime is 2007391. The next prime is 2007403. The reversal of 2007400 is 47002.

It can be written as a sum of positive squares in 3 ways, for example, as 1331716 + 675684 = 1154^2 + 822^2 .

It is not an unprimeable number, because it can be changed into a prime (2007403) 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, 4819 + ... + 5218.

2^2007400 is an apocalyptic number.

2007400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007400 is an abundant number, since it is smaller than the sum of its proper divisors (2660270).

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

2007400 is a wasteful number, since it uses less digits than its factorization.

2007400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10053 (or 10044 counting only the distinct ones).

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

The square root of 2007400 is about 1416.8274418573. The cubic root of 2007400 is about 126.1473039973.

The spelling of 2007400 in words is "two million, seven thousand, four hundred".