2800466032 has 160 divisors (see below), whose sum is σ = 7218288000. Its totient is φ = 1042255872.

The previous prime is 2800466021. The next prime is 2800466047. The reversal of 2800466032 is 2306640082.

It is a junction number, because it is equal to n+sod(n) for n = 2800465985 and 2800466003.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1211694 + ... + 1214002.

It is an arithmetic number, because the mean of its divisors is an integer number (45114300).

Almost surely, 2^2800466032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2800466032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609144000).

2800466032 is an abundant number, since it is smaller than the sum of its proper divisors (4417821968).

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

2800466032 is a wasteful number, since it uses less digits than its factorization.

2800466032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2800466032 is about 52919.4296265559. The cubic root of 2800466032 is about 1409.5379389018.

The spelling of 2800466032 in words is "two billion, eight hundred million, four hundred sixty-six thousand, thirty-two".