2100760427520 has 264 divisors, whose sum is σ = 7548680206704. Its totient is φ = 560202448896.

The previous prime is 2100760427449. The next prime is 2100760427533. The reversal of 2100760427520 is 257240670012.

It is a happy number.

2100760427520 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 7 + 604 + 27 + 5 + 20 = 666.

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 23 ways as a sum of consecutive naturals, for example, 399912 + ... + 2088408.

Almost surely, 2^{2100760427520} is an apocalyptic number.

2100760427520 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 2100760427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774340103352).

2100760427520 is an abundant number, since it is smaller than the sum of its proper divisors (5447919779184).

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

2100760427520 is an equidigital number, since it uses as much as digits as its factorization.

2100760427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688537 (or 1688507 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 2100760427520 in words is "two trillion, one hundred billion, seven hundred sixty million, four hundred twenty-seven thousand, five hundred twenty".