2277904928 has 96 divisors (see below), whose sum is σ = 4933498752. Its totient is φ = 1028966400.

The previous prime is 2277904879. The next prime is 2277904931. The reversal of 2277904928 is 8294097722.

It is a super-2 number, since 2×2277904928² = 10377701722013370368, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6881723 + ... + 6882053.

It is an arithmetic number, because the mean of its divisors is an integer number (51390612).

Almost surely, 2^2277904928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2277904928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466749376).

2277904928 is an abundant number, since it is smaller than the sum of its proper divisors (2655593824).

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

2277904928 is a wasteful number, since it uses less digits than its factorization.

2277904928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The square root of 2277904928 is about 47727.4022758415. The cubic root of 2277904928 is about 1315.7656108276.

The spelling of 2277904928 in words is "two billion, two hundred seventy-seven million, nine hundred four thousand, nine hundred twenty-eight".