2067102720 has 352 divisors, whose sum is σ = 7742572800. Its totient is φ = 521551872.

The previous prime is 2067102707. The next prime is 2067102721. The reversal of 2067102720 is 272017602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067102721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626167 + ... + 2626953.

Almost surely, 2^2067102720 is an apocalyptic number.

2067102720 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 2067102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3871286400).

2067102720 is an abundant number, since it is smaller than the sum of its proper divisors (5675470080).

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

2067102720 is a wasteful number, since it uses less digits than its factorization.

2067102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2067102720 is about 45465.4013509174. The cubic root of 2067102720 is about 1273.8570241265.

The spelling of 2067102720 in words is "two billion, sixty-seven million, one hundred two thousand, seven hundred twenty".