2801472000 has 160 divisors (see below), whose sum is σ = 9314832384. Its totient is φ = 747008000.

The previous prime is 2801471999. The next prime is 2801472019. The reversal of 2801472000 is 2741082.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 184705 + ... + 199295.

Almost surely, 2^2801472000 is an apocalyptic number.

2801472000 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 2801472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657416192).

2801472000 is an abundant number, since it is smaller than the sum of its proper divisors (6513360384).

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

2801472000 is an equidigital number, since it uses as much as digits as its factorization.

2801472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14627 (or 14601 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 2801472000 is about 52928.9334863267. The cubic root of 2801472000 is about 1409.7066941847.

The spelling of 2801472000 in words is "two billion, eight hundred one million, four hundred seventy-two thousand".