2790171648 has 264 divisors, whose sum is σ = 9311721120. Its totient is φ = 795279360.

The previous prime is 2790171623. The next prime is 2790171673. The reversal of 2790171648 is 8461710972.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2790171623) and next prime (2790171673).

It is a tau number, because it is divible by the number of its divisors (264).

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 23 ways as a sum of consecutive naturals, for example, 1722583 + ... + 1724201.

Almost surely, 2^2790171648 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 2790171648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655860560).

2790171648 is an abundant number, since it is smaller than the sum of its proper divisors (6521549472).

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

2790171648 is a wasteful number, since it uses less digits than its factorization.

2790171648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2790171648 is about 52822.0753852024. The cubic root of 2790171648 is about 1407.8086861274.

The spelling of 2790171648 in words is "two billion, seven hundred ninety million, one hundred seventy-one thousand, six hundred forty-eight".