2801952000 has 720 divisors, whose sum is σ = 11111772672. Its totient is φ = 699494400.

The previous prime is 2801951981. The next prime is 2801952017. The reversal of 2801952000 is 2591082.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59615977 + ... + 59616023.

Almost surely, 2^2801952000 is an apocalyptic number.

2801952000 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 2801952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5555886336).

2801952000 is an abundant number, since it is smaller than the sum of its proper divisors (8309820672).

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

2801952000 is an equidigital number, since it uses as much as digits as its factorization.

2801952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2801952000 is about 52933.4676740529. The cubic root of 2801952000 is about 1409.7872019286.

The spelling of 2801952000 in words is "two billion, eight hundred one million, nine hundred fifty-two thousand".