2801953280 has 160 divisors (see below), whose sum is σ = 7836998400. Its totient is φ = 960368640.

The previous prime is 2801953267. The next prime is 2801953303. The reversal of 2801953280 is 823591082.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876485 + ... + 879675.

It is an arithmetic number, because the mean of its divisors is an integer number (48981240).

Almost surely, 2^2801953280 is an apocalyptic number.

2801953280 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 2801953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918499200).

2801953280 is an abundant number, since it is smaller than the sum of its proper divisors (5035045120).

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

2801953280 is an frugal number, since it uses more digits than its factorization.

2801953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 2801953280 is about 52933.4797647009. The cubic root of 2801953280 is about 1409.7874166036.

The spelling of 2801953280 in words is "two billion, eight hundred one million, nine hundred fifty-three thousand, two hundred eighty".