2005492440 has 256 divisors, whose sum is σ = 7087979520. Its totient is φ = 444487680.

The previous prime is 2005492439. The next prime is 2005492459. The reversal of 2005492440 is 442945002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2005492398 and 2005492407.

It is a congruent number.

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, 4763430 + ... + 4763850.

It is an arithmetic number, because the mean of its divisors is an integer number (27687420).

Almost surely, 2^2005492440 is an apocalyptic number.

2005492440 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 2005492440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543989760).

2005492440 is an abundant number, since it is smaller than the sum of its proper divisors (5082487080).

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

2005492440 is a wasteful number, since it uses less digits than its factorization.

2005492440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2005492440 is about 44782.7247942775. The cubic root of 2005492440 is about 1261.0733358560.

The spelling of 2005492440 in words is "two billion, five million, four hundred ninety-two thousand, four hundred forty".