2639100248064 has 1296 divisors, whose sum is σ = 9790097335200. Its totient is φ = 706316599296.

The previous prime is 2639100248051. The next prime is 2639100248069. The reversal of 2639100248064 is 4608420019362.

2639100248064 is a `hidden beast` number, since 2 + 6 + 3 + 9 + 100 + 2 + 480 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2639100248069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29652811732 + ... + 29652811820.

It is an arithmetic number, because the mean of its divisors is an integer number (7554087450).

Almost surely, 2^{2639100248064} is an apocalyptic number.

2639100248064 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 2639100248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4895048667600).

2639100248064 is an abundant number, since it is smaller than the sum of its proper divisors (7150997087136).

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

2639100248064 is an frugal number, since it uses more digits than its factorization.

2639100248064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 2639100248064 in words is "two trillion, six hundred thirty-nine billion, one hundred million, two hundred forty-eight thousand, sixty-four".