2005463340 has 192 divisors, whose sum is σ = 6435072000. Its totient is φ = 518192640.

The previous prime is 2005463333. The next prime is 2005463353. The reversal of 2005463340 is 433645002.

2005463340 is a `hidden beast` number, since 20 + 0 + 5 + 4 + 633 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5291271 + ... + 5291649.

It is an arithmetic number, because the mean of its divisors is an integer number (33516000).

Almost surely, 2^2005463340 is an apocalyptic number.

2005463340 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 2005463340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3217536000).

2005463340 is an abundant number, since it is smaller than the sum of its proper divisors (4429608660).

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

2005463340 is a wasteful number, since it uses less digits than its factorization.

2005463340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2005463340 is about 44782.3998910286. The cubic root of 2005463340 is about 1261.0672363713.

The spelling of 2005463340 in words is "two billion, five million, four hundred sixty-three thousand, three hundred forty".