2441400192 has 384 divisors, whose sum is σ = 9279878400. Its totient is φ = 596459520.

The previous prime is 2441400191. The next prime is 2441400229. The reversal of 2441400192 is 2910041442.

It is a happy number.

2441400192 is a `hidden beast` number, since 244 + 1 + 400 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2441400191) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1507159 + ... + 1508777.

It is an arithmetic number, because the mean of its divisors is an integer number (24166350).

Almost surely, 2^2441400192 is an apocalyptic number.

2441400192 is a gapful number since it is divisible by the number (22) 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 2441400192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4639939200).

2441400192 is an abundant number, since it is smaller than the sum of its proper divisors (6838478208).

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

2441400192 is a wasteful number, since it uses less digits than its factorization.

2441400192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2441400192 is about 49410.5271374431. The cubic root of 2441400192 is about 1346.5205675354.

The spelling of 2441400192 in words is "two billion, four hundred forty-one million, four hundred thousand, one hundred ninety-two".