2781661872 has 40 divisors (see below), whose sum is σ = 7839230400. Its totient is φ = 842927680.

The previous prime is 2781661829. The next prime is 2781661877.

2781661872 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2781661877) 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, 2633622 + ... + 2634677.

It is an arithmetic number, because the mean of its divisors is an integer number (195980760).

Almost surely, 2^2781661872 is an apocalyptic number.

2781661872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2781661872 is an abundant number, since it is smaller than the sum of its proper divisors (5057568528).

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

2781661872 is a wasteful number, since it uses less digits than its factorization.

2781661872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5268321 (or 5268315 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 2781661872 is about 52741.4625508243. The cubic root of 2781661872 is about 1406.3759980813.

The spelling of 2781661872 in words is "two billion, seven hundred eighty-one million, six hundred sixty-one thousand, eight hundred seventy-two".