2905309440 has 432 divisors, whose sum is σ = 11123251776. Its totient is φ = 694272000.

The previous prime is 2905309417. The next prime is 2905309457. The reversal of 2905309440 is 449035092.

It is a super-2 number, since 2×2905309440² = 16881645884306227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2905309395 and 2905309404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12798607 + ... + 12798833.

It is an arithmetic number, because the mean of its divisors is an integer number (25748268).

Almost surely, 2^2905309440 is an apocalyptic number.

2905309440 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 2905309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561625888).

2905309440 is an abundant number, since it is smaller than the sum of its proper divisors (8217942336).

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

2905309440 is a wasteful number, since it uses less digits than its factorization.

2905309440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2905309440 is about 53900.9224410863. The cubic root of 2905309440 is about 1426.9129028308.

The spelling of 2905309440 in words is "two billion, nine hundred five million, three hundred nine thousand, four hundred forty".