2671263820 has 24 divisors (see below), whose sum is σ = 5614576128. Its totient is φ = 1067568000.

The previous prime is 2671263811. The next prime is 2671263823. The reversal of 2671263820 is 283621762.

It is a self number, because there is not a number n which added to its sum of digits gives 2671263820.

It is not an unprimeable number, because it can be changed into a prime (2671263823) 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 7 ways as a sum of consecutive naturals, for example, 35001 + ... + 81040.

It is an arithmetic number, because the mean of its divisors is an integer number (233940672).

Almost surely, 2^2671263820 is an apocalyptic number.

2671263820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2671263820 is an abundant number, since it is smaller than the sum of its proper divisors (2943312308).

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

2671263820 is a wasteful number, since it uses less digits than its factorization.

2671263820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117201 (or 117199 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 2671263820 is about 51684.2705278889. The cubic root of 2671263820 is about 1387.5189632449.

The spelling of 2671263820 in words is "two billion, six hundred seventy-one million, two hundred sixty-three thousand, eight hundred twenty".