2809969440 has 384 divisors, whose sum is σ = 9903575808. Its totient is φ = 666501120.

The previous prime is 2809969439. The next prime is 2809969483. The reversal of 2809969440 is 449699082.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12378607 + ... + 12378833.

It is an arithmetic number, because the mean of its divisors is an integer number (25790562).

Almost surely, 2^2809969440 is an apocalyptic number.

2809969440 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 2809969440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4951787904).

2809969440 is an abundant number, since it is smaller than the sum of its proper divisors (7093606368).

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

2809969440 is a wasteful number, since it uses less digits than its factorization.

2809969440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 2809969440 is about 53009.1448714276. The cubic root of 2809969440 is about 1411.1305655082.

The spelling of 2809969440 in words is "two billion, eight hundred nine million, nine hundred sixty-nine thousand, four hundred forty".