2005759440 has 240 divisors, whose sum is σ = 6894201600. Its totient is φ = 522482688.

The previous prime is 2005759439. The next prime is 2005759531. The reversal of 2005759440 is 449575002.

2005759440 is a `hidden beast` number, since 20 + 0 + 5 + 7 + 594 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2005759440² = 8046141862298227200, which contains 22 as substring.

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 = 2005759395 and 2005759404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10181422 + ... + 10181618.

It is an arithmetic number, because the mean of its divisors is an integer number (28725840).

Almost surely, 2^2005759440 is an apocalyptic number.

2005759440 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 2005759440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447100800).

2005759440 is an abundant number, since it is smaller than the sum of its proper divisors (4888442160).

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

2005759440 is a wasteful number, since it uses less digits than its factorization.

2005759440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2005759440 is about 44785.7057552965. The cubic root of 2005759440 is about 1261.1292974464.

It can be divided in two parts, 20057 and 59440, that added together give a palindrome (79497).

The spelling of 2005759440 in words is "two billion, five million, seven hundred fifty-nine thousand, four hundred forty".