2639149181136 has 300 divisors, whose sum is σ = 8463620043648. Its totient is φ = 793158283008.

The previous prime is 2639149181089. The next prime is 2639149181153. The reversal of 2639149181136 is 6311819419362.

2639149181136 is a `hidden beast` number, since 2 + 6 + 39 + 1 + 491 + 8 + 113 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9277921 + ... + 9558143.

Almost surely, 2^{2639149181136} is an apocalyptic number.

2639149181136 is a gapful number since it is divisible by the number (26) 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 2639149181136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231810021824).

2639149181136 is an abundant number, since it is smaller than the sum of its proper divisors (5824470862512).

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

2639149181136 is a wasteful number, since it uses less digits than its factorization.

2639149181136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280312 (or 280284 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 2639149181136 in words is "two trillion, six hundred thirty-nine billion, one hundred forty-nine million, one hundred eighty-one thousand, one hundred thirty-six".