2005367940 has 144 divisors (see below), whose sum is σ = 6471384192. Its totient is φ = 500917248.

The previous prime is 2005367927. The next prime is 2005367963. The reversal of 2005367940 is 497635002.

2005367940 is a `hidden beast` number, since 200 + 5 + 367 + 94 + 0 = 666.

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 = 2005367895 and 2005367904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 693177 + ... + 696063.

It is an arithmetic number, because the mean of its divisors is an integer number (44940168).

Almost surely, 2^2005367940 is an apocalyptic number.

2005367940 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 2005367940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235692096).

2005367940 is an abundant number, since it is smaller than the sum of its proper divisors (4466016252).

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

2005367940 is a wasteful number, since it uses less digits than its factorization.

2005367940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3146 (or 3141 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2005367940 is about 44781.3347277635. The cubic root of 2005367940 is about 1261.0472397085.

The spelling of 2005367940 in words is "two billion, five million, three hundred sixty-seven thousand, nine hundred forty".