2003498640 has 720 divisors, whose sum is σ = 8374307760. Its totient is φ = 425779200.

The previous prime is 2003498639. The next prime is 2003498663. The reversal of 2003498640 is 468943002.

It is a happy number.

2003498640 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 4 + 9 + 8 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 558282384 + 1445216256 = 23628^2 + 38016^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2003498595 and 2003498604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32844210 + ... + 32844270.

It is an arithmetic number, because the mean of its divisors is an integer number (11630983).

Almost surely, 2^2003498640 is an apocalyptic number.

2003498640 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 2003498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187153880).

2003498640 is an abundant number, since it is smaller than the sum of its proper divisors (6370809120).

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

2003498640 is a wasteful number, since it uses less digits than its factorization.

2003498640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2003498640 is about 44760.4584426925. The cubic root of 2003498640 is about 1260.6552902844.

The spelling of 2003498640 in words is "two billion, three million, four hundred ninety-eight thousand, six hundred forty".