2277961983 has 24 divisors (see below), whose sum is σ = 3591020160. Its totient is φ = 1380004560.

The previous prime is 2277961969. The next prime is 2277962033. The reversal of 2277961983 is 3891697722.

It is a Cunningham number, because it is equal to 47728²-1.

It is not a de Polignac number, because 2277961983 - 2¹³ = 2277953791 is a prime.

It is a super-2 number, since 2×2277961983² = 10378221591986584578, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2277961913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426910 + ... + 432212.

It is an arithmetic number, because the mean of its divisors is an integer number (149625840).

Almost surely, 2^2277961983 is an apocalyptic number.

2277961983 is a deficient number, since it is larger than the sum of its proper divisors (1313058177).

2277961983 is a wasteful number, since it uses less digits than its factorization.

2277961983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9659 (or 9656 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 2277961983 is about 47727.9999895240. Note that the first 4 decimals coincide. The cubic root of 2277961983 is about 1315.7765961237.

The spelling of 2277961983 in words is "two billion, two hundred seventy-seven million, nine hundred sixty-one thousand, nine hundred eighty-three".