2010867264 has 336 divisors, whose sum is σ = 6847027200. Its totient is φ = 552434688.

The previous prime is 2010867259. The next prime is 2010867283. The reversal of 2010867264 is 4627680102.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18793099 + ... + 18793205.

Almost surely, 2^2010867264 is an apocalyptic number.

2010867264 is a gapful number since it is divisible by the number (24) 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 2010867264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423513600).

2010867264 is an abundant number, since it is smaller than the sum of its proper divisors (4836159936).

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

2010867264 is a wasteful number, since it uses less digits than its factorization.

2010867264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2010867264 is about 44842.6946558746. The cubic root of 2010867264 is about 1262.1989116203.

The spelling of 2010867264 in words is "two billion, ten million, eight hundred sixty-seven thousand, two hundred sixty-four".