2277961984 has 81 divisors (see below), whose sum is σ = 4829699637. Its totient is φ = 1072161792.

The previous prime is 2277961969. The next prime is 2277962033. The reversal of 2277961984 is 4891697722.

The square root of 2277961984 is 47728.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 667705600 + 1610256384 = 25840^2 + 40128^2 .

It is a super-2 number, since 2×2277961984² = 10378221601098432512, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14509234 + ... + 14509390.

Almost surely, 2^2277961984 is an apocalyptic number.

2277961984 is the 47728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2277961984

2277961984 is an abundant number, since it is smaller than the sum of its proper divisors (2551737653).

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

2277961984 is an frugal number, since it uses more digits than its factorization.

2277961984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 178 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 55.

The cubic root of 2277961984 is about 1315.7765963162.

The spelling of 2277961984 in words is "two billion, two hundred seventy-seven million, nine hundred sixty-one thousand, nine hundred eighty-four".