2515104 has 96 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 806400.

The previous prime is 2515103. The next prime is 2515127. The reversal of 2515104 is 4015152.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2515103) 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 15 ways as a sum of consecutive naturals, for example, 35389 + ... + 35459.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

2^2515104 is an apocalyptic number.

2515104 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 2515104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

2515104 is an abundant number, since it is smaller than the sum of its proper divisors (5105376).

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

2515104 is a wasteful number, since it uses less digits than its factorization.

2515104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2515104 is about 1585.9079418428. The cubic root of 2515104 is about 135.9936559901.

It can be divided in two parts, 25 and 15104, that added together give a square (15129 = 123²).

The spelling of 2515104 in words is "two million, five hundred fifteen thousand, one hundred four".