2642694711840 has 576 divisors, whose sum is σ = 10272508646400. Its totient is φ = 638596721664.

The previous prime is 2642694711829. The next prime is 2642694711871. The reversal of 2642694711840 is 481174962462.

2642694711840 is a `hidden beast` number, since 2 + 64 + 2 + 69 + 471 + 18 + 40 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 16912791 + ... + 17068329.

It is an arithmetic number, because the mean of its divisors is an integer number (17834216400).

Almost surely, 2^{2642694711840} is an apocalyptic number.

2642694711840 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 2642694711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136254323200).

2642694711840 is an abundant number, since it is smaller than the sum of its proper divisors (7629813934560).

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

2642694711840 is a wasteful number, since it uses less digits than its factorization.

2642694711840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155611 (or 155591 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 2642694711840 in words is "two trillion, six hundred forty-two billion, six hundred ninety-four million, seven hundred eleven thousand, eight hundred forty".