2072027893680 has 280 divisors, whose sum is σ = 7230712977072. Its totient is φ = 551942595072.

The previous prime is 2072027893633. The next prime is 2072027893697. The reversal of 2072027893680 is 863987202702.

2072027893680 is a `hidden beast` number, since 2 + 0 + 7 + 2 + 0 + 278 + 9 + 368 + 0 = 666.

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

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 55 ways as a sum of consecutive naturals, for example, 55210282 + ... + 55247798.

Almost surely, 2^{2072027893680} is an apocalyptic number.

2072027893680 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 2072027893680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615356488536).

2072027893680 is an abundant number, since it is smaller than the sum of its proper divisors (5158685083392).

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

2072027893680 is an equidigital number, since it uses as much as digits as its factorization.

2072027893680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38495 (or 38474 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2072027893680 in words is "two trillion, seventy-two billion, twenty-seven million, eight hundred ninety-three thousand, six hundred eighty".