2010406320 has 120 divisors (see below), whose sum is σ = 7271003376. Its totient is φ = 494866944.

The previous prime is 2010406301. The next prime is 2010406331. The reversal of 2010406320 is 236040102.

It is a happy number.

2010406320 is a `hidden beast` number, since 20 + 10 + 4 + 0 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2010406293 and 2010406302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98034 + ... + 116753.

Almost surely, 2^2010406320 is an apocalyptic number.

2010406320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010406320 is an abundant number, since it is smaller than the sum of its proper divisors (5260597056).

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

2010406320 is a wasteful number, since it uses less digits than its factorization.

2010406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214819 (or 214810 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2010406320 is about 44837.5547950599. The cubic root of 2010406320 is about 1262.1024611176.

Adding to 2010406320 its reverse (236040102), we get a palindrome (2246446422).

The spelling of 2010406320 in words is "two billion, ten million, four hundred six thousand, three hundred twenty".