2673610944 has 112 divisors (see below), whose sum is σ = 7516843488. Its totient is φ = 835780608.

The previous prime is 2673610937. The next prime is 2673610987. The reversal of 2673610944 is 4490163762.

It is a super-2 number, since 2×2673610944² = 14296390959753142272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2673610896 and 2673610905.

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 15 ways as a sum of consecutive naturals, for example, 1020324 + ... + 1022940.

It is an arithmetic number, because the mean of its divisors is an integer number (67114674).

Almost surely, 2^2673610944 is an apocalyptic number.

2673610944 is a gapful number since it is divisible by the number (24) 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 2673610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758421744).

2673610944 is an abundant number, since it is smaller than the sum of its proper divisors (4843232544).

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

2673610944 is a wasteful number, since it uses less digits than its factorization.

2673610944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2673610944 is about 51706.9719090182. The cubic root of 2673610944 is about 1387.9252285821.

The spelling of 2673610944 in words is "two billion, six hundred seventy-three million, six hundred ten thousand, nine hundred forty-four".