2672033819 has 24 divisors (see below), whose sum is σ = 3352132512. Its totient is φ = 2085108480.

The previous prime is 2672033647. The next prime is 2672033851. The reversal of 2672033819 is 9183302762.

It is not a de Polignac number, because 2672033819 - 2⁸ = 2672033563 is a prime.

It is a super-2 number, since 2×2672033819² = 14279529459759449522, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (2672033219) 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, 70889 + ... + 101829.

It is an arithmetic number, because the mean of its divisors is an integer number (139672188).

Almost surely, 2^2672033819 is an apocalyptic number.

2672033819 is a deficient number, since it is larger than the sum of its proper divisors (680098693).

2672033819 is a wasteful number, since it uses less digits than its factorization.

2672033819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31047 (or 31034 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 2672033819 is about 51691.7190563440. The cubic root of 2672033819 is about 1387.6522691314.

The spelling of 2672033819 in words is "two billion, six hundred seventy-two million, thirty-three thousand, eight hundred nineteen".