2905270240 has 144 divisors (see below), whose sum is σ = 7310353680. Its totient is φ = 1090897920.

The previous prime is 2905270219. The next prime is 2905270253. The reversal of 2905270240 is 420725092.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10338900 + ... + 10339180.

It is an arithmetic number, because the mean of its divisors is an integer number (50766345).

Almost surely, 2^2905270240 is an apocalyptic number.

2905270240 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 2905270240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655176840).

2905270240 is an abundant number, since it is smaller than the sum of its proper divisors (4405083440).

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

2905270240 is a wasteful number, since it uses less digits than its factorization.

2905270240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2905270240 is about 53900.5588097192. The cubic root of 2905270240 is about 1426.9064852427.

The spelling of 2905270240 in words is "two billion, nine hundred five million, two hundred seventy thousand, two hundred forty".