2801468000 has 48 divisors (see below), whose sum is σ = 6883216704. Its totient is φ = 1120585600.

The previous prime is 2801467973. The next prime is 2801468003. The reversal of 2801468000 is 8641082.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2801468003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346184 + ... + 354183.

It is an arithmetic number, because the mean of its divisors is an integer number (143400348).

Almost surely, 2^2801468000 is an apocalyptic number.

2801468000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2801468000 is an abundant number, since it is smaller than the sum of its proper divisors (4081748704).

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

2801468000 is an equidigital number, since it uses as much as digits as its factorization.

2801468000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700392 (or 700374 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 2801468000 is about 52928.8956997971. The cubic root of 2801468000 is about 1409.7060232482.

The spelling of 2801468000 in words is "two billion, eight hundred one million, four hundred sixty-eight thousand".