2670188544 has 192 divisors, whose sum is σ = 8100892800. Its totient is φ = 868589568.

The previous prime is 2670188539. The next prime is 2670188557. The reversal of 2670188544 is 4458810762.

2670188544 is a `hidden beast` number, since 26 + 7 + 0 + 1 + 88 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2670188544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2377167 + ... + 2378289.

It is an arithmetic number, because the mean of its divisors is an integer number (42192150).

Almost surely, 2^2670188544 is an apocalyptic number.

2670188544 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 2670188544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4050446400).

2670188544 is an abundant number, since it is smaller than the sum of its proper divisors (5430704256).

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

2670188544 is a wasteful number, since it uses less digits than its factorization.

2670188544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2670188544 is about 51673.8671283658. The cubic root of 2670188544 is about 1387.3327634813.

The spelling of 2670188544 in words is "two billion, six hundred seventy million, one hundred eighty-eight thousand, five hundred forty-four".