2671011504 has 160 divisors (see below), whose sum is σ = 8948951040. Its totient is φ = 746869248.

The previous prime is 2671011493. The next prime is 2671011517. The reversal of 2671011504 is 4051101762.

It is a happy number.

2671011504 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132732 + ... + 151524.

It is an arithmetic number, because the mean of its divisors is an integer number (55930944).

Almost surely, 2^2671011504 is an apocalyptic number.

2671011504 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 2671011504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474475520).

2671011504 is an abundant number, since it is smaller than the sum of its proper divisors (6277939536).

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

2671011504 is a wasteful number, since it uses less digits than its factorization.

2671011504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18864 (or 18852 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 2671011504 is about 51681.8295341796. The cubic root of 2671011504 is about 1387.4752755273.

The spelling of 2671011504 in words is "two billion, six hundred seventy-one million, eleven thousand, five hundred four".