2071481973120 has 640 divisors, whose sum is σ = 8486270337600. Its totient is φ = 471699210240.

The previous prime is 2071481973091. The next prime is 2071481973137. The reversal of 2071481973120 is 213791841702.

2071481973120 is a `hidden beast` number, since 2 + 0 + 7 + 148 + 197 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2071481973120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 97604110 + ... + 97625330.

Almost surely, 2^{2071481973120} is an apocalyptic number.

2071481973120 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 2071481973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4243135168800).

2071481973120 is an abundant number, since it is smaller than the sum of its proper divisors (6414788364480).

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

2071481973120 is a wasteful number, since it uses less digits than its factorization.

2071481973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21528 (or 21507 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 2071481973120 in words is "two trillion, seventy-one billion, four hundred eighty-one million, nine hundred seventy-three thousand, one hundred twenty".