2401200096 has 192 divisors, whose sum is σ = 6701196096. Its totient is φ = 752025600.

The previous prime is 2401200091. The next prime is 2401200121. The reversal of 2401200096 is 6900021042.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401200091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17526940 + ... + 17527076.

It is an arithmetic number, because the mean of its divisors is an integer number (34902063).

Almost surely, 2^2401200096 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 2401200096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3350598048).

2401200096 is an abundant number, since it is smaller than the sum of its proper divisors (4299996000).

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

2401200096 is a wasteful number, since it uses less digits than its factorization.

2401200096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2401200096 is about 49002.0417533800. The cubic root of 2401200096 is about 1339.0890251462.

The spelling of 2401200096 in words is "two billion, four hundred one million, two hundred thousand, ninety-six".