2400096 has 48 divisors (see below), whose sum is σ = 6580224. Its totient is φ = 764544.

The previous prime is 2400089. The next prime is 2400107. The reversal of 2400096 is 6900042.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1665 + ... + 2751.

It is an arithmetic number, because the mean of its divisors is an integer number (137088).

2^2400096 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 2400096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112).

2400096 is an abundant number, since it is smaller than the sum of its proper divisors (4180128).

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

2400096 is a wasteful number, since it uses less digits than its factorization.

2400096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2400096 is about 1549.2243220399. The cubic root of 2400096 is about 133.8883751472. Note that the first 3 decimals are identical.

The spelling of 2400096 in words is "two million, four hundred thousand, ninety-six".