2870333440 has 104 divisors (see below), whose sum is σ = 7418490408. Its totient is φ = 1059717120.

The previous prime is 2870333437. The next prime is 2870333441. The reversal of 2870333440 is 443330782.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 802816 + 2869530624 = 896^2 + 53568^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a junction number, because it is equal to n+sod(n) for n = 2870333396 and 2870333405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2870333441) 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 7 ways as a sum of consecutive naturals, for example, 260850 + ... + 271630.

Almost surely, 2^2870333440 is an apocalyptic number.

2870333440 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 2870333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3709245204).

2870333440 is an abundant number, since it is smaller than the sum of its proper divisors (4548156968).

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

2870333440 is a wasteful number, since it uses less digits than its factorization.

2870333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10823 (or 10801 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 2870333440 is about 53575.4929048721. The cubic root of 2870333440 is about 1421.1637355666.

The spelling of 2870333440 in words is "two billion, eight hundred seventy million, three hundred thirty-three thousand, four hundred forty".