2079167040 has 168 divisors, whose sum is σ = 7179551808. Its totient is φ = 552268800.

The previous prime is 2079167033. The next prime is 2079167047. The reversal of 2079167040 is 407619702.

It is a happy number.

2079167040 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2079167033) and next prime (2079167047).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2079166986 and 2079167004.

It is not an unprimeable number, because it can be changed into a prime (2079167047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 813765 + ... + 816315.

Almost surely, 2^2079167040 is an apocalyptic number.

2079167040 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 2079167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3589775904).

2079167040 is an abundant number, since it is smaller than the sum of its proper divisors (5100384768).

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

2079167040 is a wasteful number, since it uses less digits than its factorization.

2079167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2079167040 is about 45597.8841614389. The cubic root of 2079167040 is about 1276.3304405218.

The spelling of 2079167040 in words is "two billion, seventy-nine million, one hundred sixty-seven thousand, forty".