2277923648 has 336 divisors, whose sum is σ = 6440740992. Its totient is φ = 771379200.

The previous prime is 2277923647. The next prime is 2277923663. The reversal of 2277923648 is 8463297722.

It is a super-2 number, since 2×2277923648² = 10377872292235255808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2277923596 and 2277923605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2277923647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61565486 + ... + 61565522.

It is an arithmetic number, because the mean of its divisors is an integer number (19168872).

Almost surely, 2^2277923648 is an apocalyptic number.

2277923648 is a gapful number since it is divisible by the number (28) 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 2277923648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220370496).

2277923648 is an abundant number, since it is smaller than the sum of its proper divisors (4162817344).

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

2277923648 is a wasteful number, since it uses less digits than its factorization.

2277923648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 50.

The square root of 2277923648 is about 47727.5983891920. The cubic root of 2277923648 is about 1315.7692151725.

The spelling of 2277923648 in words is "two billion, two hundred seventy-seven million, nine hundred twenty-three thousand, six hundred forty-eight".