2673879840 has 72 divisors (see below), whose sum is σ = 9124619868. Its totient is φ = 713034240.

The previous prime is 2673879737. The next prime is 2673879841. The reversal of 2673879840 is 489783762.

It can be written as a sum of positive squares in 2 ways, for example, as 2517229584 + 156650256 = 50172^2 + 12516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2673879841) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 926991 + ... + 929870.

Almost surely, 2^2673879840 is an apocalyptic number.

2673879840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2673879840 is an abundant number, since it is smaller than the sum of its proper divisors (6450740028).

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

2673879840 is a wasteful number, since it uses less digits than its factorization.

2673879840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856882 (or 1856871 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 2673879840 is about 51709.5720345856. The cubic root of 2673879840 is about 1387.9717567967.

The spelling of 2673879840 in words is "two billion, six hundred seventy-three million, eight hundred seventy-nine thousand, eight hundred forty".