2101762678580 has 54 divisors (see below), whose sum is σ = 4688849344914. Its totient is φ = 791210337792.

The previous prime is 2101762678577. The next prime is 2101762678583. The reversal of 2101762678580 is 858762671012.

It is an interprime number because it is at equal distance from previous prime (2101762678577) and next prime (2101762678583).

It can be written as a sum of positive squares in 9 ways, for example, as 564415628176 + 1537347050404 = 751276^2 + 1239898^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101762678583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 110209286 + ... + 110228354.

Almost surely, 2^{2101762678580} is an apocalyptic number.

2101762678580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101762678580 is an abundant number, since it is smaller than the sum of its proper divisors (2587086666334).

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

2101762678580 is an frugal number, since it uses more digits than its factorization.

2101762678580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38181 (or 19093 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 53.

The spelling of 2101762678580 in words is "two trillion, one hundred one billion, seven hundred sixty-two million, six hundred seventy-eight thousand, five hundred eighty".