2415104 has 40 divisors (see below), whose sum is σ = 4971780. Its totient is φ = 1171456.

The previous prime is 2415103. The next prime is 2415137. The reversal of 2415104 is 4015142.

2415104 = T₂₇₅ + T₂₇₆ + ... + T₃₂₇.

It can be written as a sum of positive squares in 2 ways, for example, as 2408704 + 6400 = 1552^2 + 80^2 .

It is a zygodrome in base 3 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2415103) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 27092 + ... + 27180.

2^2415104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2415104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485890).

2415104 is an abundant number, since it is smaller than the sum of its proper divisors (2556676).

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

2415104 is an frugal number, since it uses more digits than its factorization.

2415104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2415104 is about 1554.0604878833. The cubic root of 2415104 is about 134.1668671902.

The spelling of 2415104 in words is "two million, four hundred fifteen thousand, one hundred four".