2671920 has 80 divisors (see below), whose sum is σ = 9210720. Its totient is φ = 711936.

The previous prime is 2671919. The next prime is 2671927. The reversal of 2671920 is 291762.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2671927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1542 + ... + 2778.

It is an arithmetic number, because the mean of its divisors is an integer number (115134).

2^2671920 is an apocalyptic number.

2671920 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 2671920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605360).

2671920 is an abundant number, since it is smaller than the sum of its proper divisors (6538800).

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

2671920 is a wasteful number, since it uses less digits than its factorization.

2671920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 2671920 is about 1634.6008687138. The cubic root of 2671920 is about 138.7632565858.

It can be divided in two parts, 267 and 1920, that added together give a 7-th power (2187 = 3⁷).

The spelling of 2671920 in words is "two million, six hundred seventy-one thousand, nine hundred twenty".