2067681840 has 320 divisors, whose sum is σ = 7772835840. Its totient is φ = 444165120.

The previous prime is 2067681799. The next prime is 2067681871. The reversal of 2067681840 is 481867602.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2067681792 and 2067681801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6734967 + ... + 6735273.

It is an arithmetic number, because the mean of its divisors is an integer number (24290112).

Almost surely, 2^2067681840 is an apocalyptic number.

2067681840 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 2067681840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886417920).

2067681840 is an abundant number, since it is smaller than the sum of its proper divisors (5705154000).

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

2067681840 is a wasteful number, since it uses less digits than its factorization.

2067681840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2067681840 is about 45471.7697038503. The cubic root of 2067681840 is about 1273.9759743832.

The spelling of 2067681840 in words is "two billion, sixty-seven million, six hundred eighty-one thousand, eight hundred forty".