2661504 has 64 divisors (see below), whose sum is σ = 7344000. Its totient is φ = 852992.

The previous prime is 2661497. The next prime is 2661517. The reversal of 2661504 is 4051662.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11017 + ... + 11255.

It is an arithmetic number, because the mean of its divisors is an integer number (114750).

2^2661504 is an apocalyptic number.

2661504 is a gapful number since it is divisible by the number (24) 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 2661504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3672000).

2661504 is an abundant number, since it is smaller than the sum of its proper divisors (4682496).

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

2661504 is a wasteful number, since it uses less digits than its factorization.

2661504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2661504 is about 1631.4116586564. The cubic root of 2661504 is about 138.5827072287.

It can be divided in two parts, 266 and 1504, that added together give a triangular number (1770 = T₅₉).

The spelling of 2661504 in words is "two million, six hundred sixty-one thousand, five hundred four".