2809402000 has 80 divisors (see below), whose sum is σ = 6959023344. Its totient is φ = 1096320000.

The previous prime is 2809401989. The next prime is 2809402009. The reversal of 2809402000 is 2049082.

It can be written as a sum of positive squares in 8 ways, for example, as 711395584 + 2098006416 = 26672^2 + 45804^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2809402009) 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, 64870 + ... + 99130.

Almost surely, 2^2809402000 is an apocalyptic number.

2809402000 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 2809402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479511672).

2809402000 is an abundant number, since it is smaller than the sum of its proper divisors (4149621344).

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

2809402000 is a wasteful number, since it uses less digits than its factorization.

2809402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34325 (or 34309 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2809402000 is about 53003.7923171541. The cubic root of 2809402000 is about 1411.0355720868.

The spelling of 2809402000 in words is "two billion, eight hundred nine million, four hundred two thousand".