2671300150200 has 960 divisors, whose sum is σ = 10451008592640. Its totient is φ = 626745600000.

The previous prime is 2671300150171. The next prime is 2671300150229. The reversal of 2671300150200 is 20510031762.

It is a happy number.

2671300150200 is a `hidden beast` number, since 2 + 6 + 7 + 1 + 300 + 150 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (2671300150171) and next prime (2671300150229).

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 239 ways as a sum of consecutive naturals, for example, 957110805 + ... + 957113595.

It is an arithmetic number, because the mean of its divisors is an integer number (10886467284).

Almost surely, 2^{2671300150200} is an apocalyptic number.

2671300150200 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 2671300150200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225504296320).

2671300150200 is an abundant number, since it is smaller than the sum of its proper divisors (7779708442440).

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

2671300150200 is a wasteful number, since it uses less digits than its factorization.

2671300150200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 2671300150200 its reverse (20510031762), we get a palindrome (2691810181962).

It can be divided in two parts, 2671300 and 150200, that added together give a triangular number (2821500 = T₂₃₇₅).

The spelling of 2671300150200 in words is "two trillion, six hundred seventy-one billion, three hundred million, one hundred fifty thousand, two hundred".