2801385504 has 72 divisors (see below), whose sum is σ = 8067346560. Its totient is φ = 921967488.

The previous prime is 2801385497. The next prime is 2801385523. The reversal of 2801385504 is 4055831082.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 38812 + ... + 84315.

It is an arithmetic number, because the mean of its divisors is an integer number (112046480).

Almost surely, 2^2801385504 is an apocalyptic number.

2801385504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2801385504 is an abundant number, since it is smaller than the sum of its proper divisors (5265961056).

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

2801385504 is a wasteful number, since it uses less digits than its factorization.

2801385504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123222 (or 123211 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2801385504 is about 52928.1163843944. The cubic root of 2801385504 is about 1409.6921857113.

The spelling of 2801385504 in words is "two billion, eight hundred one million, three hundred eighty-five thousand, five hundred four".