2071887604920 has 1024 divisors, whose sum is σ = 8169851289600. Its totient is φ = 463080208896.

The previous prime is 2071887604889. The next prime is 2071887604957. The reversal of 2071887604920 is 294067881702.

It is a happy number.

2071887604920 is a `hidden beast` number, since 2 + 0 + 7 + 1 + 8 + 8 + 7 + 604 + 9 + 20 = 666.

It is a super-2 number, since 2×2071887604920² (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 (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6748819407 + ... + 6748819713.

It is an arithmetic number, because the mean of its divisors is an integer number (7978370400).

Almost surely, 2^{2071887604920} is an apocalyptic number.

2071887604920 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 2071887604920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4084925644800).

2071887604920 is an abundant number, since it is smaller than the sum of its proper divisors (6097963684680).

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

2071887604920 is a wasteful number, since it uses less digits than its factorization.

2071887604920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 534 counting only the distinct ones).

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

The spelling of 2071887604920 in words is "two trillion, seventy-one billion, eight hundred eighty-seven million, six hundred four thousand, nine hundred twenty".