2835469440 has 384 divisors, whose sum is σ = 10826524800. Its totient is φ = 680165376.

The previous prime is 2835469421. The next prime is 2835469447. The reversal of 2835469440 is 449645382.

It is a tau number, because it is divible by the number of its divisors (384).

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 (2835469447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2251531 + ... + 2252789.

It is an arithmetic number, because the mean of its divisors is an integer number (28194075).

Almost surely, 2^2835469440 is an apocalyptic number.

2835469440 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 2835469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413262400).

2835469440 is an abundant number, since it is smaller than the sum of its proper divisors (7991055360).

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

2835469440 is a wasteful number, since it uses less digits than its factorization.

2835469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 2835469440 is about 53249.1261900137. The cubic root of 2835469440 is about 1415.3863088051.

The spelling of 2835469440 in words is "two billion, eight hundred thirty-five million, four hundred sixty-nine thousand, four hundred forty".