2835440916 has 144 divisors (see below), whose sum is σ = 8580096000. Its totient is φ = 712641600.

The previous prime is 2835440911. The next prime is 2835440917. The reversal of 2835440916 is 6190445382.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835440911) by changing a digit.

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, 310585 + ... + 319583.

It is an arithmetic number, because the mean of its divisors is an integer number (59584000).

Almost surely, 2^2835440916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2835440916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290048000).

2835440916 is an abundant number, since it is smaller than the sum of its proper divisors (5744655084).

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

2835440916 is a wasteful number, since it uses less digits than its factorization.

2835440916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 2835440916 is about 53248.8583539591. The cubic root of 2835440916 is about 1415.3815626640.

The spelling of 2835440916 in words is "two billion, eight hundred thirty-five million, four hundred forty thousand, nine hundred sixteen".