2005914240 has 512 divisors, whose sum is σ = 7922707200. Its totient is φ = 475545600.

The previous prime is 2005914187. The next prime is 2005914271. The reversal of 2005914240 is 424195002.

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

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, 11594794 + ... + 11594966.

Almost surely, 2^2005914240 is an apocalyptic number.

2005914240 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 2005914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961353600).

2005914240 is an abundant number, since it is smaller than the sum of its proper divisors (5916792960).

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

2005914240 is a wasteful number, since it uses less digits than its factorization.

2005914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2005914240 is about 44787.4339519468. The cubic root of 2005914240 is about 1261.1617403189.

The spelling of 2005914240 in words is "two billion, five million, nine hundred fourteen thousand, two hundred forty".