2070167040 has 240 divisors, whose sum is σ = 7548512400. Its totient is φ = 522878976.

The previous prime is 2070167023. The next prime is 2070167063. The reversal of 2070167040 is 407610702.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 2070166995 and 2070167013.

It is a congruent number.

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, 435396 + ... + 440124.

It is an arithmetic number, because the mean of its divisors is an integer number (31452135).

Almost surely, 2^2070167040 is an apocalyptic number.

2070167040 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 2070167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774256200).

2070167040 is an abundant number, since it is smaller than the sum of its proper divisors (5478345360).

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

2070167040 is a wasteful number, since it uses less digits than its factorization.

2070167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4777 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2070167040 is about 45499.0883425152. The cubic root of 2070167040 is about 1274.4861781954.

Adding to 2070167040 its reverse (407610702), we get a palindrome (2477777742).

The spelling of 2070167040 in words is "two billion, seventy million, one hundred sixty-seven thousand, forty".