2040653440 has 256 divisors, whose sum is σ = 5860512000. Its totient is φ = 664731648.

The previous prime is 2040653437. The next prime is 2040653467. The reversal of 2040653440 is 443560402.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2040653399 and 2040653408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14680891 + ... + 14681029.

It is an arithmetic number, because the mean of its divisors is an integer number (22892625).

Almost surely, 2^2040653440 is an apocalyptic number.

2040653440 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 2040653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

2040653440 is an abundant number, since it is smaller than the sum of its proper divisors (3819858560).

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

2040653440 is a wasteful number, since it uses less digits than its factorization.

2040653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2040653440 is about 45173.5922857592. The cubic root of 2040653440 is about 1268.4005408653.

The spelling of 2040653440 in words is "two billion, forty million, six hundred fifty-three thousand, four hundred forty".