2010167040 has 576 divisors, whose sum is σ = 8010648576. Its totient is φ = 419168256.

The previous prime is 2010167039. The next prime is 2010167063. The reversal of 2010167040 is 407610102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2010166998 and 2010167016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24218839 + ... + 24218921.

It is an arithmetic number, because the mean of its divisors is an integer number (13907376).

Almost surely, 2^2010167040 is an apocalyptic number.

2010167040 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 2010167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4005324288).

2010167040 is an abundant number, since it is smaller than the sum of its proper divisors (6000481536).

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

2010167040 is a wasteful number, since it uses less digits than its factorization.

2010167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 2010167040 is about 44834.8864167180. The cubic root of 2010167040 is about 1262.0523870180.

Adding to 2010167040 its reverse (407610102), we get a palindrome (2417777142).

The spelling of 2010167040 in words is "two billion, ten million, one hundred sixty-seven thousand, forty".