2077641434752 has 128 divisors (see below), whose sum is σ = 4498789478400. Its totient is φ = 950037258240.

The previous prime is 2077641434719. The next prime is 2077641434753. The reversal of 2077641434752 is 2574341467702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (52) 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 (52).

It is a self number, because there is not a number n which added to its sum of digits gives 2077641434752.

It is not an unprimeable number, because it can be changed into a prime (2077641434753) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 160814149 + ... + 160827067.

It is an arithmetic number, because the mean of its divisors is an integer number (35146792800).

Almost surely, 2^{2077641434752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2077641434752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249394739200).

2077641434752 is an abundant number, since it is smaller than the sum of its proper divisors (2421148043648).

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

2077641434752 is a wasteful number, since it uses less digits than its factorization.

2077641434752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13834 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 52.

The spelling of 2077641434752 in words is "two trillion, seventy-seven billion, six hundred forty-one million, four hundred thirty-four thousand, seven hundred fifty-two".