2167793040 has 160 divisors (see below), whose sum is σ = 7795215360. Its totient is φ = 488074752.

The previous prime is 2167793027. The next prime is 2167793053. The reversal of 2167793040 is 403977612.

It is an interprime number because it is at equal distance from previous prime (2167793027) and next prime (2167793053).

It is a self number, because there is not a number n which added to its sum of digits gives 2167793040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102931 + ... + 122189.

It is an arithmetic number, because the mean of its divisors is an integer number (48720096).

Almost surely, 2^2167793040 is an apocalyptic number.

2167793040 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 2167793040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897607680).

2167793040 is an abundant number, since it is smaller than the sum of its proper divisors (5627422320).

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

2167793040 is a wasteful number, since it uses less digits than its factorization.

2167793040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19349 (or 19343 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 2167793040 is about 46559.5644309523. The cubic root of 2167793040 is about 1294.2135403549.

The spelling of 2167793040 in words is "two billion, one hundred sixty-seven million, seven hundred ninety-three thousand, forty".