2007205440 has 112 divisors (see below), whose sum is σ = 6429621888. Its totient is φ = 530489344.

The previous prime is 2007205303. The next prime is 2007205477. The reversal of 2007205440 is 445027002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2007205440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99229 + ... + 117731.

Almost surely, 2^2007205440 is an apocalyptic number.

2007205440 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 2007205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214810944).

2007205440 is an abundant number, since it is smaller than the sum of its proper divisors (4422416448).

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

2007205440 is a wasteful number, since it uses less digits than its factorization.

2007205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18636 (or 18626 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 2007205440 is about 44801.8463905228. The cubic root of 2007205440 is about 1261.4322840823.

The spelling of 2007205440 in words is "two billion, seven million, two hundred five thousand, four hundred forty".