2835121440 has 96 divisors (see below), whose sum is σ = 9053081856. Its totient is φ = 745666560.

The previous prime is 2835121417. The next prime is 2835121441. The reversal of 2835121440 is 441215382.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2835121398 and 2835121407.

It is not an unprimeable number, because it can be changed into a prime (2835121441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5416 + ... + 75495.

It is an arithmetic number, because the mean of its divisors is an integer number (94302936).

Almost surely, 2^2835121440 is an apocalyptic number.

2835121440 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 2835121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526540928).

2835121440 is an abundant number, since it is smaller than the sum of its proper divisors (6217960416).

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

2835121440 is a wasteful number, since it uses less digits than its factorization.

2835121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81002 (or 80994 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2835121440 is about 53245.8584304920. The cubic root of 2835121440 is about 1415.3284025104.

The spelling of 2835121440 in words is "two billion, eight hundred thirty-five million, one hundred twenty-one thousand, four hundred forty".