2401223040 has 384 divisors, whose sum is σ = 8979141600. Its totient is φ = 589234176.

The previous prime is 2401223029. The next prime is 2401223087. The reversal of 2401223040 is 403221042.

2401223040 is a `hidden beast` number, since 2 + 401 + 223 + 0 + 40 = 666.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4048984 + ... + 4049576.

Almost surely, 2^2401223040 is an apocalyptic number.

2401223040 is a gapful number since it is divisible by the number (20) 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 2401223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489570800).

2401223040 is an abundant number, since it is smaller than the sum of its proper divisors (6577918560).

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

2401223040 is a wasteful number, since it uses less digits than its factorization.

2401223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2401223040 is about 49002.2758655147. The cubic root of 2401223040 is about 1339.0932902303.

Adding to 2401223040 its reverse (403221042), we get a palindrome (2804444082).

The spelling of 2401223040 in words is "two billion, four hundred one million, two hundred twenty-three thousand, forty".