605809290240 has 1760 divisors, whose sum is σ = 2759764220928. Its totient is φ = 123420672000.

The previous prime is 605809290199. The next prime is 605809290241. The reversal of 605809290240 is 42092908506.

605809290240 is a `hidden beast` number, since 6 + 0 + 580 + 9 + 29 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a super-2 number, since 2×605809290240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (605809290241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1947939685 + ... + 1947939995.

Almost surely, 2^605809290240 is an apocalyptic number.

605809290240 is a gapful number since it is divisible by the number (60) 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 605809290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379882110464).

605809290240 is an abundant number, since it is smaller than the sum of its proper divisors (2153954930688).

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

605809290240 is a wasteful number, since it uses less digits than its factorization.

605809290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 605809290240 in words is "six hundred five billion, eight hundred nine million, two hundred ninety thousand, two hundred forty".