2003791640 has 64 divisors (see below), whose sum is σ = 4663077120. Its totient is φ = 774144000.

The previous prime is 2003791619. The next prime is 2003791663. The reversal of 2003791640 is 461973002.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2003791597 and 2003791606.

It is a congruent number.

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, 793580 + ... + 796100.

It is an arithmetic number, because the mean of its divisors is an integer number (72860580).

Almost surely, 2^2003791640 is an apocalyptic number.

2003791640 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 2003791640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331538560).

2003791640 is an abundant number, since it is smaller than the sum of its proper divisors (2659285480).

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

2003791640 is a wasteful number, since it uses less digits than its factorization.

2003791640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 2003791640 is about 44763.7313011326. The cubic root of 2003791640 is about 1260.7167417852.

The spelling of 2003791640 in words is "two billion, three million, seven hundred ninety-one thousand, six hundred forty".