2671087104 has 240 divisors, whose sum is σ = 9139498368. Its totient is φ = 762918912.

The previous prime is 2671087103. The next prime is 2671087121. The reversal of 2671087104 is 4017801762.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2671087103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869379 + ... + 872445.

Almost surely, 2^2671087104 is an apocalyptic number.

2671087104 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 2671087104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569749184).

2671087104 is an abundant number, since it is smaller than the sum of its proper divisors (6468411264).

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

2671087104 is an frugal number, since it uses more digits than its factorization.

2671087104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2671087104 is about 51682.5609272606. The cubic root of 2671087104 is about 1387.4883657169.

Adding to 2671087104 its reverse (4017801762), we get a palindrome (6688888866).

The spelling of 2671087104 in words is "two billion, six hundred seventy-one million, eighty-seven thousand, one hundred four".