2891779280 has 80 divisors (see below), whose sum is σ = 7283856720. Its totient is φ = 1067668992.

The previous prime is 2891779277. The next prime is 2891779291. The reversal of 2891779280 is 829771982.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1481326144 + 1410453136 = 38488^2 + 37556^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 167534 + ... + 183986.

It is an arithmetic number, because the mean of its divisors is an integer number (91048209).

Almost surely, 2^2891779280 is an apocalyptic number.

2891779280 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 2891779280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641928360).

2891779280 is an abundant number, since it is smaller than the sum of its proper divisors (4392077440).

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

2891779280 is a wasteful number, since it uses less digits than its factorization.

2891779280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16505 (or 16473 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 53.

The square root of 2891779280 is about 53775.2664335566. The cubic root of 2891779280 is about 1424.6943889610.

The spelling of 2891779280 in words is "two billion, eight hundred ninety-one million, seven hundred seventy-nine thousand, two hundred eighty".