2067291072 has 280 divisors, whose sum is σ = 7641701760. Its totient is φ = 536855040.

The previous prime is 2067291059. The next prime is 2067291077. The reversal of 2067291072 is 2701927602.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067291077) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 396579 + ... + 401757.

It is an arithmetic number, because the mean of its divisors is an integer number (27291792).

Almost surely, 2^2067291072 is an apocalyptic number.

2067291072 is a gapful number since it is divisible by the number (22) 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 2067291072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820850880).

2067291072 is an abundant number, since it is smaller than the sum of its proper divisors (5574410688).

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

2067291072 is a wasteful number, since it uses less digits than its factorization.

2067291072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5221 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2067291072 is about 45467.4726810277. The cubic root of 2067291072 is about 1273.8957137424.

The spelling of 2067291072 in words is "two billion, sixty-seven million, two hundred ninety-one thousand, seventy-two".