2671704000 has 1120 divisors, whose sum is σ = 12273930240. Its totient is φ = 559872000.

The previous prime is 2671703963. The next prime is 2671704017. The reversal of 2671704000 is 4071762.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 86183985 + ... + 86184015.

Almost surely, 2^2671704000 is an apocalyptic number.

2671704000 is a gapful number since it is divisible by the number (20) 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 2671704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136965120).

2671704000 is an abundant number, since it is smaller than the sum of its proper divisors (9602226240).

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

2671704000 is a wasteful number, since it uses less digits than its factorization.

2671704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2671704000 is about 51688.5287080219. The cubic root of 2671704000 is about 1387.5951724345.

Adding to 2671704000 its reverse (4071762), we get a palindrome (2675775762).

The spelling of 2671704000 in words is "two billion, six hundred seventy-one million, seven hundred four thousand".