2040556320 has 384 divisors, whose sum is σ = 8134318080. Its totient is φ = 472919040.

The previous prime is 2040556303. The next prime is 2040556321. The reversal of 2040556320 is 236550402.

2040556320 is a `hidden beast` number, since 20 + 4 + 0 + 5 + 5 + 632 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2040556321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092027 + ... + 1093893.

It is an arithmetic number, because the mean of its divisors is an integer number (21183120).

Almost surely, 2^2040556320 is an apocalyptic number.

2040556320 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 2040556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4067159040).

2040556320 is an abundant number, since it is smaller than the sum of its proper divisors (6093761760).

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

2040556320 is a wasteful number, since it uses less digits than its factorization.

2040556320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2040556320 is about 45172.5173086469. The cubic root of 2040556320 is about 1268.3804183868.

The spelling of 2040556320 in words is "two billion, forty million, five hundred fifty-six thousand, three hundred twenty".