2472096 has 48 divisors (see below), whose sum is σ = 7082208. Its totient is φ = 748800.

The previous prime is 2472091. The next prime is 2472097. The reversal of 2472096 is 6902742.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2472096² = 12222517266432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2472091) 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, 115 + ... + 2226.

It is an arithmetic number, because the mean of its divisors is an integer number (147546).

2^2472096 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 2472096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541104).

2472096 is an abundant number, since it is smaller than the sum of its proper divisors (4610112).

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

2472096 is a wasteful number, since it uses less digits than its factorization.

2472096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2365 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2472096 is about 1572.2900495774. The cubic root of 2472096 is about 135.2140363332.

The spelling of 2472096 in words is "two million, four hundred seventy-two thousand, ninety-six".