2671520 has 48 divisors (see below), whose sum is σ = 6441120. Its totient is φ = 1046784.

The previous prime is 2671507. The next prime is 2671523. The reversal of 2671520 is 251762.

It is a super-2 number, since 2×2671520² = 14274038220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2671523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9299 + ... + 9581.

It is an arithmetic number, because the mean of its divisors is an integer number (134190).

2^2671520 is an apocalyptic number.

2671520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2671520 is the 944-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2671520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220560).

2671520 is an abundant number, since it is smaller than the sum of its proper divisors (3769600).

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

2671520 is a wasteful number, since it uses less digits than its factorization.

2671520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2671520 is about 1634.4785101065. The cubic root of 2671520 is about 138.7563317187.

The spelling of 2671520 in words is "two million, six hundred seventy-one thousand, five hundred twenty".