2010572640 has 144 divisors (see below), whose sum is σ = 6872720400. Its totient is φ = 535243776.

The previous prime is 2010572633. The next prime is 2010572659. The reversal of 2010572640 is 462750102.

2010572640 is a `hidden beast` number, since 2 + 0 + 10 + 5 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1596331 + ... + 1597589.

It is an arithmetic number, because the mean of its divisors is an integer number (47727225).

Almost surely, 2^2010572640 is an apocalyptic number.

2010572640 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 2010572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436360200).

2010572640 is an abundant number, since it is smaller than the sum of its proper divisors (4862147760).

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

2010572640 is a wasteful number, since it uses less digits than its factorization.

2010572640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 2010572640 is about 44839.4094519542. The cubic root of 2010572640 is about 1262.1372645453.

The spelling of 2010572640 in words is "two billion, ten million, five hundred seventy-two thousand, six hundred forty".