2067434460 has 648 divisors, whose sum is σ = 8429082480. Its totient is φ = 407586816.

The previous prime is 2067434407. The next prime is 2067434491. The reversal of 2067434460 is 644347602.

2067434460 is a `hidden beast` number, since 206 + 7 + 4 + 3 + 446 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 28320984 + ... + 28321056.

Almost surely, 2^2067434460 is an apocalyptic number.

2067434460 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 2067434460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214541240).

2067434460 is an abundant number, since it is smaller than the sum of its proper divisors (6361648020).

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

2067434460 is a wasteful number, since it uses less digits than its factorization.

2067434460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2067434460 is about 45469.0494732406. The cubic root of 2067434460 is about 1273.9251656724.

The spelling of 2067434460 in words is "two billion, sixty-seven million, four hundred thirty-four thousand, four hundred sixty".