2040733440 has 252 divisors, whose sum is σ = 7332289944. Its totient is φ = 544195584.

The previous prime is 2040733439. The next prime is 2040733447. The reversal of 2040733440 is 443370402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1620 × 972 × 1296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040733447) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 408146686 + ... + 408146690.

Almost surely, 2^2040733440 is an apocalyptic number.

2040733440 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 2040733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666144972).

2040733440 is an abundant number, since it is smaller than the sum of its proper divisors (5291556504).

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

2040733440 is an frugal number, since it uses more digits than its factorization.

2040733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 2040733440 is about 45174.4777501633. The cubic root of 2040733440 is about 1268.4171157387.

The spelling of 2040733440 in words is "two billion, forty million, seven hundred thirty-three thousand, four hundred forty".