2071748809152 has 1232 divisors, whose sum is σ = 7364795349120. Its totient is φ = 571405363200.

The previous prime is 2071748809127. The next prime is 2071748809189. The reversal of 2071748809152 is 2519088471702.

2071748809152 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 7 + 488 + 0 + 9 + 152 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 175 ways as a sum of consecutive naturals, for example, 33963095202 + ... + 33963095262.

Almost surely, 2^{2071748809152} is an apocalyptic number.

2071748809152 is a gapful number since it is divisible by the number (22) 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 2071748809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682397674560).

2071748809152 is an abundant number, since it is smaller than the sum of its proper divisors (5293046539968).

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

2071748809152 is an equidigital number, since it uses as much as digits as its factorization.

2071748809152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 2071748809152 in words is "two trillion, seventy-one billion, seven hundred forty-eight million, eight hundred nine thousand, one hundred fifty-two".