2642011313760 has 2880 divisors, whose sum is σ = 12799771891200. Its totient is φ = 505135927296.

The previous prime is 2642011313749. The next prime is 2642011313801. The reversal of 2642011313760 is 673131102462.

2642011313760 is a `hidden beast` number, since 2 + 642 + 0 + 1 + 1 + 3 + 1 + 3 + 7 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 114870057109 + ... + 114870057131.

It is an arithmetic number, because the mean of its divisors is an integer number (4444365240).

Almost surely, 2^{2642011313760} is an apocalyptic number.

2642011313760 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 2642011313760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6399885945600).

2642011313760 is an abundant number, since it is smaller than the sum of its proper divisors (10157760577440).

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

2642011313760 is a wasteful number, since it uses less digits than its factorization.

2642011313760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 2642011313760 in words is "two trillion, six hundred forty-two billion, eleven million, three hundred thirteen thousand, seven hundred sixty".