2071920876480 has 2352 divisors, whose sum is σ = 9443021382144. Its totient is φ = 428906741760.

The previous prime is 2071920876461. The next prime is 2071920876539. The reversal of 2071920876480 is 846780291702.

It is a happy number.

2071920876480 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 92 + 0 + 8 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a super-2 number, since 2×2071920876480² (a number of 25 digits) contains 22 as substring.

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 335 ways as a sum of consecutive naturals, for example, 10847753185 + ... + 10847753375.

Almost surely, 2^{2071920876480} is an apocalyptic number.

2071920876480 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 2071920876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721510691072).

2071920876480 is an abundant number, since it is smaller than the sum of its proper divisors (7371100505664).

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

2071920876480 is a wasteful number, since it uses less digits than its factorization.

2071920876480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 2071920876480 in words is "two trillion, seventy-one billion, nine hundred twenty million, eight hundred seventy-six thousand, four hundred eighty".